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1

Jacquet, Nicolas. "Distributions propres invariantes sur la paire symétrique (gl(4,R)/gl(2,R)*gl(2,R))." Phd thesis, Ecole Polytechnique X, 2010. http://pastel.archives-ouvertes.fr/pastel-00561472.

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Nous construisons des distributions propres invariantes pour la paire symétrique (gl(4,R)/gl(2,R)*gl(2,R)). Pour ceci, j'ai dans un premier temps décrit les orbites de GL(2,R)*Gl(2,R) sur ce quotient. J'ai ensuite généralisé certains résultats sur les intégrales orbitales de rang un (de J.Faraut) au rang deux. Ainsi j'ai obtenu le comportement des intégrales orbitales au voisinage des points semi-réguliers. Je me suis restreint à l'étude des distributions invariantes, propres sous l'action des opérateurs différentiels invariants à coefficients constants. données par des fonctions localement intégrables. J'ai d'abord déterminé les fonctions propres invariantes sur l'ouvert dense des éléments réguliers. Ceci est rendu possible par l'expression des parties radiales des opérateurs différentiels considérés en terme des opérateurs de Dunkl. Le comportement des intégrales orbitales m'a permis de déterminer lesquelles de ces fonctions donnaient une distribution propre invariante sur l'ensemble des éléments privés des nilpotents. Nous obtenons un espace vectoriel de dimension 6 dont certaines se prolongent naturellement à tout l'espace.
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2

GRENIE, LOIC. "VALEURS SPECIALES DE FONCTIONS L DE GL(R) x GL(R)." Paris 7, 2000. http://www.theses.fr/2000PA077100.

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Nous demontrons dans cette these un resultat qui etend le resultat de h. Hida sur les valeurs speciales de fonctions l automorphes de gl(2) gl(2) au groupe gl(r) gl(r). Les donnees sont deux representations automorphes paraboliques (irreductibles) de gl(r). Nous utilisons la representation integrale de cette fonction l donnee par h. Jacquet et j. A. Shalika, ce qui introduit une serie d'eisenstein d'une representation induite d'un sous-groupe parabolique maximal de gl(r). Nous pouvons alors interpreter cette serie d'eisenstein comme le residu d'une serie d'eisenstein provenant du sous-groupe de borel. Nous relions ensuite ces valeurs speciales au cup-produit de classes de cohomologie (relative) d'algebre de lie. Les resultats de l. Clozel sur la descente aux structures rationnelles et celui de g. Harder sur la rationnalite des residus de series d'eisenstein provenant du sous-groupe de borel donnent alors des informations sur les valeurs speciales. Le resultat obtenu est qu'a un nombre algebrique pres, la valeur speciale est un produit de trois nombres, dependant chacun d'une seule des trois representations considerees, divise par une integrale archimedienne. Comme les k-types supportant la cohomologie ont ete calcules, il ne reste qu'a prouver la non nullite de l'integrale archimedienne ou meme a la calculer.
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3

Bian, Ce. "Computing GL(3) automorphic forms." Thesis, University of Bristol, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.535225.

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4

Trømborg, Håkon. "Control system for the DNV GL Fuel Fighter Prototype and the DNV GL Fuel Fighter UrbanConcept." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for teknisk kybernetikk, 2014. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-25969.

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In this report I present my work developing the main control unit in the two DNV GL Fuel Fighter cars that raced in Shell Eco-marathon 2014. The objective of the Shell Eco-marathon is to race a set distance using as little energy as possible, and my focus has been on giving the driver the tools and information to run the car in an energy efficient manner. I explored different existing driving strategies, and because of the high power consumption of the motor controller circuit I decided to use the "Pulse and Glide" strategy. This meant the car would accelerate rapidly to maximum speed and then coast with motor and its controller switched off.
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5

Lamichhane, Manoj. "Levi Subalgebras of gl(5,R)." University of Toledo / OhioLINK, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1470255305.

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6

Weselmann, Uwe. "Kohomologische Kongruenzen zwischen automorphen Darstellungen von GL₂." Bonn : [s.n.], 1993. http://catalog.hathitrust.org/api/volumes/oclc/31445704.html.

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7

Hall, Jack Kingsbury Mathematics &amp Statistics Faculty of Science UNSW. "Some branching rules for GL(N,C)." Awarded by:University of New South Wales. Mathematics and Statistics, 2007. http://handle.unsw.edu.au/1959.4/29473.

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This thesis considers symmetric functions and algebraic combinatorics via the polynomial representation theory of GL(N,C). In particular, we utilise the theory of Jacobi-Trudi determinants to prove some new results pertaining to the Littlewood-Richardson coefficients. Our results imply, under some hypotheses on the strictness of the partition an equality between Littlewood-Richardson coefficients and Kostka numbers. For the case that a suitable partition has two rows, an explicit formula is then obtained for the Littlewood-Richardson coefficient using the Hook Length formula. All these results are then applied to compute branching laws for GL(m+n,C) restricting to GL(m,C) x GL(n,C). The technique also implies the well-known Racah formula.
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8

Assis, Maristela Patricia de. "LIBERDADE CRISTÃ EM GL 5, 1-14." Pontifícia Universidade Católica de Goiás, 2009. http://localhost:8080/tede/handle/tede/788.

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Made available in DSpace on 2016-07-27T13:47:47Z (GMT). No. of bitstreams: 1 MARISTELA PATRICIA DE ASSIS.pdf: 2777127 bytes, checksum: 798c9a7bf3f644d3cbd7704f37756112 (MD5) Previous issue date: 2009-06-18
This dissertation aims to demonstrate the meaning of freedom in the Christian point of view and the resulting implications of an independent Christian living in addition to demonstrating the relations between faith, Christian freedom, love and service. This work was specifically based on Paul s letter written to the Galatians and, more precisely, on the Gl 5, 1-14 pericope where Paul substantiates the issue of Christian freedom. With this work the author intends to analyze the Christian freedom, delimitating its practice and locating its experience, defining its concept and discussing its consequences and how to live it at community in those days when the slavery imposed by the Roman Empire predominated, in a scientific knowledge construction.
Esta dissertação objetiva demonstrar o significado de liberdade do ponto de vista cristão e as implicações resultantes de um viver cristão independente, além de demonstrar as relações entre fé, liberdade cristã e serviço. Este trabalho se baseou especificamente na carta de Paulo escrita aos gálatas e mais precisamente na perícope de Gl 5, 1-14 onde Paulo fundamenta a questão da liberdade cristã. Com este trabalho a autora pretende analisar a liberdade cristã delimitando a sua prática e localizando sua vivência, definindo seu conceito e discutindo suas consequências e como vivê-la na comunidade naqueles tempos em que predominava a escravidão imposta pelo Império Romano numa construção de conhecimento científico.
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9

Márquez, Lobato Yolanda. "Study of the monofilar suture based on the segmented copolymer GL-b-(GL-co-TMC-co-CL-)-b-GL thermal behavior, degradability and incorporation of active agents : polymers and biopolymers." Doctoral thesis, Universitat Politècnica de Catalunya, 2016. http://hdl.handle.net/10803/404331.

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Biomaterials based on block segmented copolymers constituted by hard and soft segments have attracted much attention for biomedical applications in the last decades, specifically as absorbable monofilament sutures. Polyglycolide has demonstrated to be a good candidate to constitute the hard segment due to its biodegradability and high stiffness, whereas the incorporation of different monomers (e.g. -caprolactone, trimethylene carbonate or glycolide) in a random distribution as soft segment promotes material flexibility and enhances in vitro degradation rates. Resulting material properties can be tailored by the combination of different ratios of hard and soft segments and the specific monomer composition. In this Thesis the study of a tricomponent segmented copolymer commercially marketed as Monosyn® by B. Braun Surgical as an absorbable monofilament suture is presented. The main goals of the work concern to: a) the complete physical characterization that involves the study of the crystallization kinetics and thermal stability, b) the study of the degradation behavior and the associated microstructural changes, c) the evaluation of the capability to improve the performance of Monosyn® by adding compounds with pharmacological activity and d) the production of nanofibers to be employed as reinforcing agents. Isothermal and non-isothermal crystallizations were followed by different techniques (e.g. optical microscopy, differential scanning calorimetry and time-resolved SAXS experiments in a synchrotron radiation facility). The composition of the soft segment influenced in the crystallization of the segmented copolymer as could be deduced by comparison with reported data on similar bicomponent systems. Hydrolytic degradation was carried out at different temperatures and in buffered media of a continuous range of pH. Surface morphology of hydrolyzed sutures showed the formation of longitudinal and circumferential cracks in the outer and inner part of the suture, respectively. These fractures were associated to the existence of interfibrillar and interlamellar amorphous domains as was revealed by SAXS experiments. To explore the potential applications of Monosyn® as an absorbable monofilament suture with pharmacological activity, different drugs were incorporated. Moreover, the use of an amorphous copolymer coating was also evaluated. The first group of drugs selected were biguanide compounds (i.e. chlorhexidine and polyhexametilen biguanide), which have a well-recognized bactericide activity. Specifically, the effectiveness of using a coating was proved as well as the influence of drug molecular size in the activity. The study of the loading process, release behavior and pharmacological activity was completed considering an antibiotic (chloramphenicol) and a healing agent (captopril). Finally, nanofibers of the selected copolymer were prepared by means of the electrospinning technique. These nanofibers were also loaded with pharmacological drugs and used as reinforcing agent of biodegradable polymer matrices. In order to obtain appropriate fabrics different fiber compositions and electrospun set up configurations were tested.
En las últimas décadas, los biomateriales basados en copolímeros segmentados, constituidos por segmentos duros y blandos, han atraído el un creciente interés para una amplia gama de s aplicaciones biomédicas, especialmente como suturas monofilares absorbibles. Se ha demostrado que la poliglicolida es una buena candidata para constituir el segmento duro debido a su biodegradabilidad y a su alta rigidez, mientras que la incorporación de distintos monómeros (por ejemplo, -caprolactona, carbonato de trimetileno o glicolida) en una disposición estadística como segmento blando promueven la flexibilidad del material y mejoran la velocidad de degradación in vitro. Las propiedades de los materiales resultantes pueden ajustarse combinando diferentes proporciones de los segmentos duro y blando, y con una composición específica de monómero. En esta Tesis se presenta el estudio del copolímero segmentado tricomponente comercializado por B.Braun Surgical como sutura absorbible monofilar con el nombre de Monosyn®. Los principales objetivos de este trabajo son: a) la caracterización física completa que incluye el estudio de estabilidad térmica y cinéticas de cristalización, b) el estudio de la degradación y los cambios microestructurales asociados, c) la evaluación de la mejora del uso de la sutura añadiendo componentes con actividad farmacológica, y d) la producción de nanofibras para utilizarlas como agentes reforzantes. Las cristalizaciones isotérmicas y no isotérmicas se siguieron mediante distintas técnicas (microscopía óptica, calorimetría diferencial de barrido y experimentos de difracción de rayos X de bajo ángulo). La composición del segmento blando influyó en la cristalización del copolímero segmentado, como era de esperar por la comparación con los datos publicados del sistema bicomponente similar. La degradación hidrolítica fue llevada a cabo a distintas temperaturas con disoluciones tamponadas en un rango continuo de pH. La morfología de la superficie de las suturas hidrolizadas mostró la formación de fracturas longitudinales y circunferenciales en la zona externa e interna de la sutura, respectivamente. Estas fracturas se asociaron a la existencia de dominios amorfos interfibrilares e interlamelares, tal y como se corroboró mediante los experimentos de difracción de rayos X de bajo ángulo. Para explorar las aplicaciones potenciales de Monosyn® como sutura absorbible monofilar con actividad farmacológica, se incorporaron distintos fármacos. Además, se evaluó el uso de un copolímero amorfo como recubrimiento. El primer grupo de fármacos seleccionados corresponden a la familia de las biguanidas (clorhexidina y polihexametilen biguanida), conocidas por su actividad bactericida. En particular se probó la efectividad de utilizar un recubrimiento y la influencia del tamaño molecular del fármaco en su actividad. El estudio del proceso de carga, el perfil de liberación y la actividad farmacológica se completó considerando también un antibiótico (cloranfenicol) y un agente cicatrizante (captopril). Por último, se prepararon nanofibras del copolímero seleccionado mediante la técnica del electrohilado. Estas nanofibras se cargaron con fármaco y se utilizaron como agentes reforzantes de matrices poliméricas biodegradables. Con el propósito de conseguir unos tejidos apropiados, se probaron distintas composiciones de fibras y diferentes configuraciones en el montaje del sistema de electrohilado.
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10

Eriksson, Oskar, and Emil Rydkvist. "An in-depth analysis of dynamically rendered vector-based maps with WebGL using Mapbox GL JS." Thesis, Linköpings universitet, Programvara och system, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-121073.

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The regular way of displaying maps in a web browser is by downloading raster images from a server and lay them side by side to make up a map. If any information on the map is changed, new images has to be downloaded, it cannot be done on the client. The introduction of WebGL opens up a whole new world of delivering advanced graphics content to the end user in a web browser. Utilizing this technology for displaying maps means only the source data is sent to the web browser where the map gets rendered using the device's GPU. This adds a number of benefits such as the ability of changing map appearance on the client, add new features to the map and often less data transfer. It however sets higher expectations of the client device's hardware as it needs to render the map at a high enough frame rate to not appear slow and unresponsive. This thesis investigates a framework for client side map rendering in a web browser, Mapbox GL JS, with focus on performance. It shows how map source data can be generated as well as its corresponding style rules are constructed with performance in mind. It provides benchmarking results of different map data sets with different detail intensity and shows that a device with good GPU performance is needed for an acceptable user experience. It also shows that lowering the amount of rendered detail does not necessarily result in better performance.
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11

Aeal, Wemedh. "K-theory, chamber homology and base change for the p-ADIC groups SL(2), GL(1) and GL(2)." Thesis, University of Manchester, 2012. https://www.research.manchester.ac.uk/portal/en/theses/ktheory-chamber-homology-and-base-change-for-the-lowercasepadic-groups-sl2-gl1-and-gl2(974c74a7-83ff-4cb2-bbb8-e15cfbb8e2e1).html.

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The thrust of this thesis is to describe base change BC_E/F at the level of chamber homology and K-theory for some p-adic groups, such as SL(2,F), GL(1,F) and GL(2,F). Here F is a non-archimedean local field and E is a Galois extension of F. We have had to master the representation theory of SL(2) and GL(2) including the Langlands parameters. The main result is an explicit computation of the effect of base change on the chamber homology groups, each of which is constructed from cycles. This will have an important connection with the Baum-Connes correspondence for such p-adic groups. This thesis involved the arithmetic of fields such as E and F, geometry of trees, the homology groups and the Weil group W_F.
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12

Nigalis, Lynne. "Exploring GL vocabulary, a bar-none cloze test." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0025/MQ50356.pdf.

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13

Ivashenka, Alena. "GL-Lect Endocytosis in In-Vivo Model Systems." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLS420.

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Une multitude de voies endocytiques existent à la surface de la membrane plasmique, ce qui conduit à l'endocytose de la majeure partie des membranes ainsi que de leurs protéines associées, des molécules de signalisation, des facteurs de croissance et autres cargos (Smith et al. 2017). Pendant des décennies, la voie majeure dite clathrine dépendante a été la plus étudiée, Cette voie d’endocytose se caractérise par la polymérisation de molécules de clathrine et de protéines adaptatrices au niveau de récepteurs liés à leurs ligands, entrainant la courbure de la membrane, avant sa scission et son endocytose (Smith et al. 2017). Récemment, plusieurs mécanismes alternatifs ont été découverts facilitant l'absorption endocytique des protéines cargo et des récepteurs membranaires, même en l'absence de la voie clathrine dépendante (Mayor et al.2014). Un modèle d'endocytose qui ne requiert pas de clathrine mais à la place des galectines et des glycolipides a été proposé par le groupe de Ludger Johannes (Lakshminarayan et al. 2014). Les galectines sont des lectines qui se lient aux bêta-galactosides et qui, à ce jour, regroupent 15 membres (galectine-1 à galectine-15) chez les mammifères et sont retrouvées dans de nombreux types de cellules et tissus (Leffler et al., 2004). Les galectines sont probablement sécrétées extra-cellulairement par une voie inconnue et non-classique (Hughes, 1999). Les glycosphingolipides (GSL) sont des constituants membranaires ubiquitaires, divisés en fractions neutres ou acides. Le terme GSL s'applique aux composés contenant au moins un monosaccharide et une céramide. Il est à noter que l’enzyme UDP-glucose céramide glucosyltransférase (Ugcg) catalyse l’étape initiale de la biosynthèse de GSLs à base de glycosylcéramides.Notre modèle de travail actuel, impliquant les glycolipides et les lectines, a été qualifié d'hypothèse GL-Lect (Johannes et al. 2016), et préliminairement soutenu par des données expérimentales comme décrit par Lakshminarayan et al. en 2014. Il peut être décrit comme suit:i) le monomère Gal3 se lie aux glycoprotéinesii) Gal3 commence alors à oligomériseriii) Gal3 oligomérisé a la capacité de se lier aux glycosphingolipides, ce qui peut induire la formation de clusters de GSLsiv). Ces clusters Gal3-GSL induisent une invagination de la membrane plasmique, une endocytose des protéines cargo liées à Gal3 et la formation subséquente de CLIC (clathrin-independent carriers ), endosomes pré-précoces.Selon ce modèle, l’oligomère Gal3 est capable de se lier aux GSLs et d’induire une déformation de la membrane de la même manière qu’une autre lectine, la sous-unité pathogène shiga toxine-B (STxB). Par conséquent, les deux processus pourraient être résumés sous la même hypothèse GL-Lect, où GL représente les glycosphingolipides (Gb3 pour STxB et des GSLs non identifiés pour Gal3) et Lect corresponds aux lectines (STxB, Gal3 et éventuellement d'autres). Comprendre si les voies d'internalisation indépendantes de la clathrine, mais dépendantes de la galectine 3, sont conservées, non seulement pour les modèles in vitro mais également in vivo, est un défi majeur dans le domaine du trafic cellulaire.Nous avons caractérisé, pour la première fois, un nouveau mécanisme dans l’intestin facilitant le transport endocytique d’un cargo. Ce mécanisme est conduit par la Galectine 3 et agit dans les entérocytes intestinaux dans le processus analogue de transcytose et dépend des glycosphingolipides. En effet, nous avons découvert que la lactotransferrine (LTF), un cargo de Gal3 que nous avons identifié par Mass spec, dépendait fortement de la Galectine3 pour son endocytose efficace, et des GSLs pour son mode de distribution analogue à la transcytose. Sur la base de ces découvertes dans l'épithélium intestinal de souris, nous avons établi un système modèle in vivo fonctionnel dans lequel le mécanisme endocytique récemment proposé, appelé dans notre laboratoire GL-Lect, a été étudié physiologiquement
A host of endocytic pathways exist at the surface of eukaryotic cells, which lead to the internalization of the bulk of membranes along with membrane proteins, signaling receptors, growth factors, and other cargoes (Smith et al. 2017). For decades, the clathrin-mediated pathway has been the major well characterized endocytic process where clathrin polymerizes along with the associated adaptor proteins to include ligand-bound receptors, leading to membrane bending, membrane scission, and endocytosis (Smith et al. 2017). Recently, multiple alternative mechanisms have been uncovered which facilitate the endocytic uptake of cargo molecules and membrane receptors even in the absence of clathrin machinery (Mayor et al.2014). A model of endocytosis that doesn’t require clathrin but rather sugar-binding galectins and glycolipids has been proposed by my host laboratory (Lakshminarayan et al. 2014). Galectins constitute a family of beta-galactoside–binding lectins, which to date consists of 15 members in mammals. Galectins are broadly distributed in a variety of cells and tissues (Leffler et al. 2004). They are translocated from the cytosol to the extracellular space by a process of non-classical secretion (Hughes 1999). Glycosphingolipids (GSLs) are ubiquitous membrane constituents that are subdivided in neutral or acidic fractions. The term GSLs applies to compounds that contain at least one monosaccharide and a ceramide. Of note, the enzyme UDP-glucose ceramide glucosyltransferase (Ugcg) catalyzes the initial step for the biosynthesis of glycosylceramide-based GSLs.Our current working model, which involves glycolipids and lectins, was termed the GL-Lect hypothesis (Johannes et al. 2016). It is backed up by experimental data as described in Ref. (Lakshminarayan et al. 2014) and can be described as follows:i) Monomeric Gal3 binds to glycoproteinsii) Gal3 then starts to oligomerizeiii) Oligomerized Gal3 has the capacity to bind to glycosphingolipids and this may induce clustering of GSLsiv) Gal3-GSL cluster are inducing the invagination of the plasma membrane to generate tubular endocytic pits from which clathrin-independent carriers (CLICs, which are pre-early endosomes) are generated.Oligomeric Gal3 is indeed able to bind to GSLs and to induce membrane deformation (Lakshminarayan et al. 2014) in a similar way the pathogenic lectin Shiga toxin-B subunit (STxB) does. Therefore, both processes could be summarized under the same hypothesis, the GL-Lect hypothesis, where GL stands for the glycosphingolipids (Gb3 for STxB and gangliosides for Gal3) and Lect summarizes the lectins (STxB, Gal3 and possibly others as well).Understanding if this clathrin-independent but Gal3-dependent internalization mechanism is conserved not only in vitro model systems but in vivo is a main challenge in the field of trafficking.We characterized for the first time that in the gut a new mechanism facilitates endocytic uptake of cargo. This mechanism is driven by Galectin3 and operates in intestinal enterocytes for transcytosis like process and is glycosphingolipid dependent. Indeed, we have found that the lactotransferrin (LTF), a Gal3 cargo that we have identified by Mass spec, strongly required Gal3 and GSLs for its efficient endocytosis and its transcytosis like distribution pattern, respectively. Based on these findings in mouse intestinal epithelium, we established a functional in vivo model system where the newly proposed endocytic mechanism termed in our lab as GL-Lect, was physiologically investigated
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Jackson, Terry Jason. "The theory of admissible representation of GL(2,F)." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0002/MQ34379.pdf.

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15

Manjrekar, Rajesh P. "The mod-p cohomology of GL(2p-2,Z) /." The Ohio State University, 1994. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487857546387654.

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16

Lin, Yongxiao. "Subconvex bounds for twists of GL(3) L-functions." The Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu152416635614617.

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17

Baggio, Roberta. "Crystal Plasticity Theory Accounting for GL(2,Z) Symmetry." Thesis, Paris 13, 2019. http://www.theses.fr/2019PA131082.

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Ce travail avait pour objet de développer une nouvelle approche mésoscopique de la plasticité cristalline et de l’appliquer à la modélisation de la germination homogène et hétérogène de dislocations en 2D. La plasticité est modélisée dans le contexte de la théorie de l'élasticité non linéaire en déformations finies, en utilisant une densité d'énergie de type Landau générant un paysage énergétique périodique. Des puits d'énergie équivalents décrivent des configurations atomiques pouvant être cartographiées par des cisaillements à réseau invariant. Ce type d'invariance est donné par le groupe de symétrie global, qui coïncide avec le groupe de matrices inversibles de valeurs entières GL (2, Z). L'activation des "mécanismes de plasticité", décrite dans ce modèle par les vallées à basse énergie du paysage énergétique, est basée sur la minimisation de l'énergie, et révèle un couplage entre différents plans de glissement. Ce couplage est en grande partie contrôlé par les points selle correspondant aux phases instables de forte symétrie. Nous avons ainsi pu simuler la germination collective de dislocations dans le but de quantifier les effets de la symétrie cristalline et du type de chargement appliqué. Nos simulations numériques montrent que la germination homogène conduit à la formation de structures de dislocations caractérisés par une complexité spatiale élevée. Nous effectuons une comparaison systématique avec des simulations atomistiques, ce qui suggère que notre modèle mésoscopique est capable de capturer les principaux effets atomistiques. L'avantage du nouveau modèle est que l'interaction des dislocations à courte portée est automatiquement incluse, sans la nécessité de recours à des relations phénoménologiques ad hoc. Conçu pour l’étude d’un grand nombre de dislocations en interactions, le modèle mésoscopique proposé ouvre de nouvelles possibilités pour étudier la complexité des corrélations spatiales et temporelles
We develop a new mesoscopic approach to crystal plasticity and apply it for the modeling of the homogeneous and heterogeneous nucleation of dislocations in 2D. Plasticity is modeled in the context of geometrically and physically nonlinear elasticity theory, by using Landau-type energy density generating a globally periodic energy landscape. The equivalent energy wells describe atomic configurations which can be mapped on each other by lattice invariant shears. This type of invariance is dictated by the global symmetry group of integer valued invertible matrices GL(2,Z).The resulting model accounts for this tensorial symmetry in the context of nonlinear elasticity with finite stretches and rotations. The activation of the ‘plastic mechanisms’, described in this model by the extended ravines in the energy landscape, is directed by the energy minimization which accounts automatically for the coupling between different slip planes. Such coupling is largely controlled by the saddle points corresponding to the unstable high symmetry phases. Then, we used to simulate the collective nucleation of dislocations with the main goal of quantifing the effects of crystal symmetry and sample orientation in the loading device. Our numerical simulations show that homogeneous nucleation results in the formation of the dislocation patterns which are are characterized by high spatial complexity. We perform a systematic comparison with atomistic simulations, which suggest that our mesoscopic model is capable of capturing the main atomistic effects. The main advantage of the new model is that short range dislocations interaction is accounted automatically, whitout ad hoc phenomenological realtions. Being designed for the study of the evolution of a large number of interacting dislocations, the proposed mesoscopic model opens new possibilities for studying the complexity of plastic flows in crystals associated with the emergence of scale free spatial and temporal correlations
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Márquez, Francisco Javier. "On cayley graphs of subgroups of GL(3,p) /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2001. http://wwwlib.umi.com/cr/ucsd/fullcit?p3001272.

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19

Kujawa, Jonathan. "The representation theory of the supergroup GL(M/N) /." view abstract or download file of text, 2003. http://wwwlib.umi.com/cr/uoregon/fullcit?p3102172.

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Thesis (Ph. D.)--University of Oregon, 2003.
Typescript. Includes vita and abstract. Includes bibliographical references (leaves 91-92). Also available for download via the World Wide Web; free to University of Oregon users.
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20

Stevens, Perdita Emma. "Integral forms for Weyl modules of GL(2,Q)." Thesis, University of Warwick, 1992. http://wrap.warwick.ac.uk/110800/.

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In this thesis we determine the integral forms in Weyl modules for GL(2,Q). We work with the Schur algebra exclusively; we do not use the Lie algebra of GL(2,Q). In Chapter 1 we give the necessary background. We begin to simplify the problem, using the known reduction of it to the problem of finding those integral forms which lie between certain limits -Y and V. Together with localisation at each prime p, this enables us to restrict our attention to the structure of X/Vp. We show that we can deduce the integral structure of any Weyl module from that of Weyl modules with highest weight (r, 0) for an integer r. We describe a duality which arises on X/Vp. In Chapter 2 we prove a rather surprising number-theoretic result which allows us to simplify the problem further. In Chapter 3 we arrive at a very simple characterisation of the integral forms, namely that they can be represented as those integer labellings of a particular graph, the scoreable set lattice, which satisfy a certain criterion. We exploit this to prove various general results about the structure of X/Vp. We show how it is possible, using our methods, to describe the structure of X/Vp in arbitrarily complicated cases in terms of simpler structures. In Chapter 4, we discuss the relevance of our work to the theory of modular Weyl modules, and we explain how our work relates to that of others.
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Morais, Maria de Lourdes Silva de Arruda. "Estudo clinicopatologico das neoplasias benignas e malignas de gl?ndulas salivares maiores e menores." Universidade Federal do Rio Grande do Norte, 2011. http://repositorio.ufrn.br:8080/jspui/handle/123456789/13224.

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Made available in DSpace on 2014-12-17T14:13:38Z (GMT). No. of bitstreams: 1 MariaLSAM_TESE.pdf: 839751 bytes, checksum: 9e3f17155f859977e0554c8ab0a331b0 (MD5) Previous issue date: 2011-05-25
Foi avaliada, no presente estudo, a preval?ncia dos casos de tumores benignos e malignos de gl?ndulas salivares maiores e menores que ocorreram na popula??o atendida no hospital Dr. Luiz Ant?nio Natal/RN, no per?odo de 1989 a 2005, bem como as poss?veis associa??es existentes entre os aspectos cl?nico e patol?gicos exibidos pelos referidos tumores, visando ? obten??o de par?metros indicadores de diagn?stico e/ou progn?stico. Dos prontu?rios dos pacientes foram obtidas todas as informa??es cl?nicas necess?rias para a realiza??o do trabalho. A an?lise dos dados revelou que dos 303 tumores de gl?ndula salivar estudados, a maioria (71%) foram benignos, o mais comum foi adenoma Pleom?rfico. As m?dias de idades para os tumores benignos e malignos foi de 49,2 e 58,5 anos, respectivamente. Diferen?as estatisticamente significativas entre estes tumores foram observadas para as seguintes vari?veis: idade m?dia, o tamanho do tumor e dura??o da doen?a. Em rela??o ao tamanho do tumor, carcinoma mucoepidermoide mostrou-se 1,74 vezes menor que o de outros tumores malignos. Uma associa??o entre o diagn?stico histol?gico e vari?vel consist?ncia do tumor foi observada. Os dados apresentados neste estudo s?o relevantes para a compreens?o das diversas caracter?sticas exibidas por estes tumores, j? que corroboram uma s?rie de estudos anteriores
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22

Neretin, Yurii A., and Andreas Cap@esi ac at. "Geometry of GL$_n$(C) on Infinity: Hinges, Projective Compactifications." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi971.ps.

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23

Sun, Heng. "The residual spectrum of (overline)GL(N), the borel case." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/nq27736.pdf.

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24

Ma, Ping. "The implementation of a 3D-object simulator using Open-GL." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2001. http://www.collectionscanada.ca/obj/s4/f2/dsk3/ftp04/MQ59335.pdf.

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25

De, Ieso Marco. "Analyse p-adique et complétés unitaires universels pour GL₂(F)." Phd thesis, Université Paris Sud - Paris XI, 2012. http://tel.archives-ouvertes.fr/tel-00802660.

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Soit p un nombre premier. Les résultats de cette thèse s'inscrivent dans le cadre du programme de Langlands p-adique. Lorsque V est une représentation p-adique de dimension 2 du groupe Gal(\bar{Qp}/Qp), on sait lui associer une représentation p-adique continue B(V) de GL₂(Qp). Si F est une extension finie non triviale de Qp, la question d'associer des représentations p-adiques de GL₂(F) aux représentations p-adiques de dimension 2 de Gal(\bar{Qp}/F) dans l'esprit d'une correspondance locale à la Langlands s'annonce beaucoup plus délicate. Dans ce texte, nous considérons des espaces de Banach p-adiques, munis d'une action linéaire continue de GL₂(F), qui sont des complétions unitaires universelles de certaines représentations localement Qp-analytiques de GL₂(F). Celles-ci sont susceptibles de jouer un rôle important dans une éventuelle correspondance de Langlands locale p-adique pour GL₂(F). Le résultat principal de cette thèse est démontré dans le Chapitre 3 et généralise des résultats antérieurs de Berger et Breuil. Il consiste en une description explicite de ces complétés unitaires universels à l'aide des fonctions continues sur F d'un certain type. Pour ce faire, nous introduisons dans le Chapitre 2 des espaces de Banach de fonctions de classe C^r, où r est un nombre rationnel positif, et leurs espaces duaux de distributions d'ordre r. Nous construisons une base de Banach et nous donnons un critère de prolongement des formes linéaires définies sur un espace de fonctions localement Qp-polynomiales en distributions d'ordre r. Ce faisant, nous généralisons des résultats classiques dus à Amice-Vélu et Vishik. Dans le Chapitre 4, nous exhibons des cas de non nullité pour les complétions unitaires universelles considérées par construction explicite de réseaux invariants. Cela donne de nouveaux cas de la conjecture proposée par Breuil et Schneider sur l'équivalence entre l'existence de normes invariantes sur certaines représentations localement algébriques de GL_d(F) et l'existence de certaines représentations de de Rham de Gal(\bar{Qp}/F).
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26

Carlisle, D. P. "The modular representation theory of GL(n,p) and applications." Thesis, University of Manchester, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.374790.

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27

Tsymbaliuk, Oleksandr. "The affine Yangian of gl₁, and the infinitesimal Cherednik algebras." Thesis, Massachusetts Institute of Technology, 2014. http://hdl.handle.net/1721.1/90192.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2014.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 183-186).
In the first part of this thesis, we obtain some new results about infinitesimal Cherednik algebras. They have been introduced by Etingof-Gan-Ginzburg in [EGG] as appropriate analogues of the classical Cherednik algebras, corresponding to the reductive groups, rather than the finite ones. Our main result is the realization of those algebras as particular finite W-algebras of associated semisimple Lie algebras with nilpotent 1-block elements. To achieve this, we prove its Poisson counterpart first, which identifies the Poisson infinitesimal Cherednik algebras introduced in [DT] with the Poisson algebras of regular functions on the corresponding Slodowy slices. As a consequence, we obtain some new results about those algebras. We also generalize the classification results of [EGG] from the cases GL, and SP2n to SOl. In the second part of the thesis, we discuss the loop realization of the affine Yangian of gl₁. Similar objects were recently considered in the work of Maulik-Okounkov on the quantum cohomology theory, see [MO]. We present a purely algebraic realization of these algebras by generators and relations. We discuss some families of their representations. A similarity with the representation theory of the quantum toroidal algebra of gl₁ is explained by adapting a recent result of Gautam-Toledano Laredo, see [GTL], to the local setting. We also discuss some aspects of those two algebras such as the degeneration isomorphism, a shuffle presentation, and a geometric construction of the Whittaker vectors.
by Oleksandr Tsymbaliuk.
Ph. D.
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28

Sechi, Gianluigi. "GL₂ Iwasawa theory of elliptic curves over global funtion fields." Thesis, University of Cambridge, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.613046.

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29

Старкіна, О. Д. "Ігровий 2D фреймворк для Android: Canvas та Open GL ES." Thesis, ЦНТУ, 2017. http://dspace.kntu.kr.ua/jspui/handle/123456789/7370.

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30

Wang, Yitong. "Mod p Langlands program and local-global compatibility for GL₂." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASM014.

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Cette thèse est consacrée au programme de Langlands modulo p pour GL₂. Dans la première partie, j'étudie la dimension de Gelfand-Kirillov des représentations π provenant de la cohomologie modulo p des courbes de Shimura. Soit p un nombre premier et F un corps de nombres totalement réel non ramifié en des places divisant p. Soit r une représentation modulo p modulaire de dimension 2 du groupe de Galois de F qui satisfait l'hypothèse de Taylor-Wiles et quelques hypothèses techniques de généricité. Pour v une place fixée de F divisant p, on montre que de nombreuses représentations modulo p lisses admissibles de GL₂(Fᵥ) associées à r dans les espaces propres de Hecke correspondants de la cohomologie modulo p ont une dimension de Gelfand-Kirillov [Fᵥ:Qp]. Ceci s'appuie sur et étend les travaux de Breuil-Herzig-Hu-Morra-Schraen et de Hu-Wang, en donnant une preuve unifiée pour tous les cas (r semisimple ou non à v). Dans la deuxième partie, j'étudie les (phi,Gamma)-modules étales D_A(π) associés aux représentations π provenant de la cohomologie modulo p des courbes de Shimura. Soit K une extension finie non ramifiée de Qp. Pour π une représentation modulo p lisse admissible de GL₂(K) satisfaisant certaines propriétés de multiplicité un, je calcule le rang du (phi,Gamma)-module étale D_A(π) associé défini par Breuil-Herzig-Hu-Morra-Schraen, ce qui étend leurs résultats. Dans la troisième partie, j'étudie les propriétés de compatibilité local-global des (phi,Gamma)-modules étales D_A(π). Pour ⍴ une représentation modulo p réductible quelconque de dimension 2 du groupe de Galois de K, je calcule explicitement le (phi,Gamma)-module étale D_A(⍴) défini par Breuil-Herzig-Hu-Morra-Schraen. Ensuite, soit π une représentation modulo p lisse admissible de GL₂(K) apparaissant dans certains espaces propres de Hecke de la cohomologie modulo p et ⍴ sa représentation modulo p sous-jacente de dimension 2 du groupe de Galois de K. En supposant que ⍴ est maximalement non-scindée, je montre sous certaines hypothèses de généricité que le (phi,Gamma)-module étale D_A(π) défini par Breuil-Herzig-Hu-Morra-Schraen est isomorphe à D_A(⍴). Ceci étend leurs résultats, où ⍴ était supposé semisimple
This thesis is devoted to the mod p Langlands program for GL₂. In the first part, I study the Gelfand-Kirillov dimension of the representations π coming from the mod p cohomology of Shimura curves. Let p be a prime number and F a totally real number field unramified at places above p. Let r be a two-dimensional modular mod p representation of the Galois group of F that satisfies the Taylor-Wiles hypothesis and some technical genericity assumptions. For v a fixed place of F above p, we prove that many of the admissible smooth mod p representations of GL₂(Fᵥ) associated to r in the corresponding Hecke-eigenspaces of the mod p cohomology have Gelfand-Kirillov dimension [Fᵥ:Qp]. This builds on and extends the work of Breuil-Herzig-Hu-Morra-Schraen and Hu-Wang, giving a unified proof in all cases (r either semisimple or not at v). In the second part, I study the étale (phi,Gamma)-modules D_A(π) associated to the representations π coming from the mod p cohomology of Shimura curves and compute there ranks. Let K be a finite unramified extension of Qp. For π an admissible smooth mod p representation of GL₂(K) satisfying certain multiplicity-one properties, we compute the rank of the associatedétale étale (phi,Gamma)-modules D_A(π) defined by Breuil-Herzig-Hu-Morra-Schraen, extending their results. In the third part, I study the local-global compatibility properties of the étale (phi,Gamma)-modules D_A(π). For ⍴ any reducible two-dimensional mod p representation of the Galois group of K, we compute explicitly the associated étale (phi,Gamma)-module D_A(⍴) defined by Breuil-Herzig-Hu-Morra-Schraen. Then we let π be an admissible smooth mod p representation of GL₂(K) occurring in some Hecke eigenspaces of the mod p cohomology and ⍴ be its underlying two-dimensional mod p representation of the Galois group of K. Assuming that ⍴ is maximally non-split, we prove under some genericity assumption that the associated étale (phi,Gamma)-module D_A(π) defined by Breuil-Herzig-Hu-Morra-Schraen is isomorphic to D_A(⍴). This extends their results, where ⍴ was assumed to be semisimple
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31

Matz, Jasmin [Verfasser], Tobias [Akademischer Betreuer] Finis, Wilhelm [Akademischer Betreuer] Singhof, and Werner [Akademischer Betreuer] Müller. "Arthur's trace formula for GL(2) and GL(3) and non-compactly supported test functions / Jasmin Matz. Gutachter: Wilhelm Singhof ; Werner Müller. Betreuer: Tobias Finis." Düsseldorf : Universitäts- und Landesbibliothek der Heinrich-Heine-Universität Düsseldorf, 2011. http://d-nb.info/1015434347/34.

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32

Rajhi, Anis. "Cohomologie d'espaces fibrés au-dessus de l'immeuble affine de GL(N)." Thesis, Poitiers, 2014. http://www.theses.fr/2014POIT2266/document.

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Cette thèse se compose de deux parties : dans la première on donne une généralisation d'espaces fibrés construit au-dessus de l'arbre de Bruhat-Tits du groupe GL(2) sur un corps p-adique. Plus précisément, on a construit une tour projective d'espaces fibrés au-dessus du 1-squelette de l'immeuble de Bruhat-Tits de GL(n) sur un corps p-adique. On a montré que toute représentation cuspidale π de GL(n) se plonge avec multiplicité 1 dans le premier espace de cohomologie à support compact du k-ième étage de la tour, où k est le conducteur de π. Dans la deuxième partie on a construit un espace W au-dessus de la subdivision barycentrique de l'immeuble de Bruhat-Tits de GL(n) sur un corps p-adique. Pour étudier les espaces de cohomologie à support compact d'un G-complexe simplicial propre X muni d'un recouvrement équivariant assez particulier, où G est un groupe localement compact totalement discontinu, on a montré l'existence d'une suite spactrale dans la catégorie des représentations lisses de G qui converge vers la cohomologie à support compact de X. En s'appuyant sur ce dernier résultat, on a calculé la cohomologie à support compact de l'espace W comme représentation lisse de GL(n) puis on a montrer que les types cuspidaux de niveau 0 de GL(n) apparaissent avec multiplicité fini dans la cohomologie de certain complexes fini construit au niveau résiduel. Comme conséquence, on montre que les représentations cuspidales de niveau 0 de GL(n) apparaissent dans la cohomologie de W
This thesis consists of two parts: the first one gives a generalization of fiber spaces constructed above the Bruhat-Tits tree of the group GL(2) over a p-adic field. More precisely we construct a projective tower of spaces over the 1-skeleton of the Bruhat-Tits building of GL(n) over a p-adic field. We show that any cuspidal representation π of GL(n) embeds with multiplicity 1 in the first cohomology space with compact support of k-th floor of the tower, where k is the conductor of π. In the second part we constructed a space W above the barycentric subdivision of the Bruhat-Tits building of GL(n) over a p-adic field. To study the cohomology spaces with compact support of a proper G-simplicial complex X with a rather special equivariant covering, where G is a totally disconnected locally compact group, we show the existence of a spactrale sequence in the category of smooth representations of G that converges to the cohomology with compact support of X. Based on the latter results, we calculate the cohomology with compact support of W as smooth representation of GL(n), and then we show that the level zero cuspidal types of GL(n) appear with finite multiplicity in the cohomology of some finite simplicial complexes constructed in residual level. As a consequence, we show that the cuspidal representations of level 0 of GL(n) appear in the cohomology of W
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33

Poderzay, Regina Carmella. "Principal Series Representations of GL(2) Over Finite Fields." Youngstown State University / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=ysu1527607113143289.

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34

Gonard, Bertrand. "Catégories dérivées de blocs à défaut non abélien de GL(2,q)." Phd thesis, Université Paris-Diderot - Paris VII, 2002. http://tel.archives-ouvertes.fr/tel-00002033.

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Cette thèse étudie la catégorie dérivée du bloc principal du groupe fini GL(2,q) en caractéristique l. On dispose grâce à la théorie de Deligne-Lusztig de deux complexes Le et Ls. Si l est différent de 2 alors les l-sous-groupes de Sylow de GL(2,q) sont abéliens, je vérifie que si l divise q-1 (respectivement q+1) alors le complexe Le (respectivement Ls) induit une équivalence dérivée ``splendide'' entre la somme des blocs de défaut maximal de GL(2,q) et l'algèbre du normalisateur d'un l-sous-groupe de Sylow. Ceci vérifie la conjecture de Broué. Si l=2 et q est impair, alors les l-sous-groupes de Sylow de GL(2,q) ne sont pas abéliens. Je montre que si q est congru à 1 ou 7 modulo 8 alors il n'existe aucun sous-groupe local H de GL(2,q) tel que les blocs principaux de H et de GL(2,q) sont de même type. Si q est congru à 3 ou 5, je considère le normalisateur dans GL(2,q) d'un sous-groupe de Sylow de SL(2,q). Je montre que son bloc principal est de même type que celui de GL(2,q) puis que ces deux blocs sont reliés par une équivalence dérivée ``splendide''. J'utilise ensuite la théorie des A-infini-algèbres. A partir des complexes Le et Ls je construis une A-infini-algèbre minimale dont la catégorie dérivée est équivalente à celle du bloc principal de GL(2,q). Il s'agit donc d'une algèbre associative graduée munie d'une structure supplémentaire. Cette construction généralise la construction des équivalences splendides effectuée dans les cas où les sous-groupes de Sylow sont abéliens. Je donne une description complète des A-infini-algèbres obtenues en considérant PGL(2,q) plutôt que GL(2,q). Je montre en particulier que les applications m(n) (pour n>2) donnant la A-infini-structure supplémentaire sont nulles pour n>3.
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35

Graf, Philipp [Verfasser], and Guido [Akademischer Betreuer] Kings. "Polylogarithms for GL₂ over totally real fields / Philipp Graf. Betreuer: Guido Kings." Regensburg : Universitätsbibliothek Regensburg, 2016. http://d-nb.info/1098531051/34.

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36

Kuivaniemi, Emilié. "Den interna styrningen i kreditinstitut : Påverkan av EBA:s nya riktlinjer (GL 44)." Thesis, Linköpings universitet, Affärsrätt, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-96801.

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Efter finanskrisen år 2008 började kvalitén av den interna styrningen i kreditinstitut att ifrågasättas mer än under tidigare år. Banker gick i konkurs och intressenters förtroende för kreditinstitut sjönk. Efter finanskrisen undersökte CEBS hur implementeringen av deras riktlinjer på området av intern styrning fungerade, och kom fram till att implementeringen av riktlinjerna var bristfälliga. CEBS kom fram till att den bristande interna styrningen var en bakomliggande faktor till finanskrisen, bland annat så behövdes proceduren för tillsyn förbättras i kreditinstituten. EBA övertog år 2011 CEBS:s uppgifter och uppdaterade CEBS:s riktlinjer, i form av GL 44. I GL 44 fokuseras det på den interna styrningen i kredit- och värdepappersinstitut och riktlinjerna i GL 44 kommer att ersätta råden i FFFS 2005:15, som kreditinstitut i Sverige bör ha följt sedan år 2005. Frågeställningen i uppsatsen är hur det befintliga svenska regelverket och kreditinstituten kommer att påverkas av de nya riktlinjerna i GL 44, jämfört med de nuvarande råden i FFFS 2005:1. Fokus i uppsatsen ligger på regleringen av ledningsarbetet. Riktlinjerna i GL 44 är mycket mer omfattande och specifika i sin utformning än vad råden i FFFS 2005:1 är. Råden i FFFS 2005:1 riktas till flera sorts företag under Finansinspektionens tillsyn, utöver kredit- och värdepappersinstitut som riktlinjerna i GL 44 riktas till, till exempel försäkringsbolag. De olika sorters institut som råden i FFFS 2005:1 riktas till, resulterar i att råden ej kan vara lika specifika som riktlinjerna i GL 44 är. I uppsatsen fokuseras dock på kreditinstituten. Fokuseringen på den interna styrningen syns väl i GL 44, till exempel finns det ett eget omfattande avsnitt som endast behandlar ledningsorgan, vilket någon motsvarighet ej finns för i FFFS 2005:1. Interna riktlinjer är även något som i GL 44 anses vara viktigt att ha i institut, och det uttalas på flera ställen i GL 44 att interna riktlinjer bör finnas på olika områden, som till exempel för ledningsorganets etiska och professionella uppträdande och ledningsorganets sammansättning. De interna kontrollorganen får även genom riktlinjerna i GL 44 ett större ansvar, genom till exempel att kontrollorganen bör ha det yttersta ansvaret för riskhanteringen i den dagliga verksamheten. I GL 44 har man även lagt stor vikt vid att öka insynen i institut samt på att instituten har adekvata informationssystem. Riktlinjerna i GL 44 riktas till hela unionen, istället för till endast företag under Finansinspektionens tillsyn, såsom det görs i råden i FFFS 2005:1. Detta är ett steg i riktningen mot en enhetligare reglering inom unionen, som är ett av målen med riktlinjerna i GL 44. I GL 44 ges sammanfattningsvis genom sin tydligare och specifikare utformning en bättre förståelse för kreditinstituten, för både kreditinstitutens medarbetare och intressenter, i jämförelse med FFFS 2005:1.
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37

Stefanicki, Tomasz. "Non-vanishing of L-functions attached to automorphic representations of GL(2)." Thesis, McGill University, 1992. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=39403.

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This thesis studies non-vanishing of L-functions attached to automorphic representations on GL(2) at real points in the critical strip. By comparing mean and mean square estimates for cyclotomic twists $L(f, chi,w)$, ${1 over 2} le w1/2$, and that at least $c sb1 q/ log q$ twists do not vanish at 1/2. We also prove that at least $c sb2 y sp{{2 over 3}- epsilon}$ quadratic twists $L(f, chi sb{d},1/2)$ do not vanish by comparing mean and fourth power mean estimates for such twists, where $d le y$ and $ chi sb{d}$ denotes the Kronecker symbol.
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Van, Order Jeanine Marie. "p-adic L-functions for self-dual GL₂ Rankin- Selberg L-values." Thesis, University of Cambridge, 2015. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.709143.

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39

URBAN, ERIC. "Arithmetique des formes automorphes pour gl(2) sur un corps quadratique imaginaire." Paris 11, 1994. http://www.theses.fr/1994PA112102.

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Ce travail est compose de deux articles. Le premier consiste en un resultat d'integralite pour la valeur speciale en 1 (qui n'est pas un entier critique au sens de deligne) de la fonction l du changement de base de gelbart-jacquet associe a une forme modulaire cuspidale pour gl(2) sur un corps quadratique imaginaire k et d'un critere de congruences entre de telles formes. Dans le second, nous montrons une etroite relation entre la theorie d'iwasawa d'un corps cm biquadratique m contenant k et le module de congruence associe a une famille p-adique de series theta pour gl(2, k) provenant de caracteres de hecke de m. En comparant notre methode aux travaux de hida-tilouine, nous conjecturons une etrange relation entre les modules de congruences du sous-corps reel de m et k
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40

Sécherre, Vincent. "Représentations des formes intérieures de GL(N) : caractères simples et bêta-extensions." Paris 11, 2002. http://www.theses.fr/2002PA112224.

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Cette thèse s'inscrit dans le cadre de la théorie des types dans les groupes réductifs sur un corps local non-archimédien. Etant donnés un tel corps F et une algèbre à division D de centre F et de degré réduit d, nous cherchons à construire des types simples pour le groupe GL(m, D), m entier supérieur ou égal à 1, forme intérieure du groupe linéaire GL(md, F). Nous franchissons deux étapes importantes dans cette construction. Dans un premier temps, nous produisons, pour toute strate simple de l'algèbre de matrices M(m, D), un ensemble de caractères simples, liés à ceux construits par Bushnell et Kutzko dans le cas déployé par un principe de transfert. Ces caractères simples jouissent d'un certain nombre de propriétés remarquables, notamment d'une formule d'entrelacement et d'une propriété de non-dégénérescence permettant d'associer à chacun d'eux sa représentation de Heisenberg, définie sur un certain sous-groupe ouvert compact de GL(m, D). Les techniques utilisées sont basées sur un procédé de montée-descente lié à un changement de base non ramifié. Dans un second temps, dans le cas où l'ordre héréditaire sous-jacent à la strate est principal, nous construisons pour chacun des caractères simples qui lui correspondent une bêta-extension de sa représentation de Heisenberg, c'est-à-dire un prolongement de même entrelacement. Cette construction est basée sur l'emploi d'un système de relations de cohérence entre les diverses représentations construites, ainsi que sur un procédé d'induction parabolique permettant d'obtenir des bêta-extensions dans GL(m, D) à partir de bêta-extensions dans GL(m/e, D), où e divise m
This thesis is devoted to the construction of simple types for the reductive group GL(m, D), where m is a positive integer and D a finite dimensional division algebra whose center is a nonarchimedean local field. The underlying aim of this work is the explicit description of the set of irreducible smooth complex representations of GL(m, D) whose inertial support is reduced to one element. In a first stage, we produce, for each simple stratum of the matrix algebra M(m,D), a set of simple characters, related to those constructed by Bushnell and Kutzko in the split case by a transfert property. Those characters fulfill some remarkable properties, as an intertwining formula and a nondegeneracy property, allowing to build their Heisenberg representation defined on a certain compact open subgroup of GL(m, D). This construction is based on a unramified base change process, which allows us to make use of the results of Bushnell and Kutzko. In a second stage, when the underlying hereditary order of the stratum is principal, we build for each simple character corresponding to it an extension of its Heisenberg representation without reducing the intertwining (such an extension is called a beta-extension). This construction is based on the use of a system of coherence relations between the various representations built, and on a parabolic induction process giving beta-extensions in GL(m,D) from beta-extensions in GL(m/e,D), where e divides m
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41

Silva, Maria Helena Almeida Braz da. "Modulation of TG/(GL+FFA) cycle as a therapeutic strategy to obesity." Master's thesis, Universidade de Aveiro, 2014. http://hdl.handle.net/10773/13330.

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Mestrado em Biologia Molecular e Celular
Obesity is one of the leading causes of health care issues all over the world. A large slice of the worldwide population develops co-morbidities as a consequence of this condition, such as type 2 diabetes mellitus (T2DM), atherosclerosis, fatty liver, cardiovascular diseases and even some cancers, conditions that are associated with reduced life expectancy. The inefficiency of current therapies that aim to treat obesity leads to further investigation on novel therapeutic targets for this condition, including modulation of white adipose tissue (WAT). In WAT, glucose and lipid metabolism converge into triglyceride/ glycerol + free fatty acid (TG/ (GL + FFA)) cycle, which is considered a futile cycle since it doesn’t generate products while consuming energy substrates. The decreased activity of this cycle in obesity, decreases substrates oxidation and increases free fatty acids (FFA) storage in WAT. If coupled to increased mitochondrial β-oxidation, modulation of TG/ (GL+FFA) cycling provides an attractive therapeutic target to stimulate fat mobilization and prevent WAT dysfunction. Currently there are no known strategies that simultaneously stimulate both these processes. Chenodeoxycholic acid (CDCA) is a bile acid known for its anti-obesity effects; however the mechanism of action is still controversial. CDCA activates both peroxisome proliferator activating receptor (PPAR) α and PPARγ, regulators of the transcription of key metabolic genes involved in the TG/ ( GL+FFA) cycle, mitochondrial oxidative capacity and FFA oxidation. As such, we hypothesized that CDCA mediates the coupling of futile cycles with energy expenditure in WAT, increasing simultaneously futile acid activity and mitochondrial substrates oxidation. This work focused on evaluating the metabolic alterations of TG/ (GL+FFA) cycle, in culture 3T3-L1 cells exposed to CDCA. Specifically, we addressed if CDCA supplementation alters the TG/ (GL+FFA) cycle activity, if this was related to improved metabolic status and if mitochondrial metabolism was involved. Cultured 3T3-L1 cells exposed to CDCA exhibit decreased lipid accumulation and an increase in uncoupling protein-1 (UCP-1) content, which in turn leads to a decrease in reactive oxygen species (ROS) generation. CDCA also leads to an increase in glyceroneogenesis, suggesting an increase activity in TG/ (GL+FFA) cycle activity. Indeed, these results show that administration of CDCA seems to be an attractive therapy to obesity and T2DM. However, a question still remains, what leads to a reduction in triglycerides (TG) accumulation? Based on our results CDCA up-regulates genes involved in β-oxidation and mitochondrial biogenesis, but there are no differences in fatty acid oxidation between control and cell exposed to CDCA. A possible explanation is that lipids are being exported to the medium. However this is an in vitro study, it would be interesting understand the destination of this lipids in vivo. Finally the possible occurrence of metabolic compartmentalization opens new perspectives in futures works.
A obesidade é um dos principais problemas de saúde pública a nível mundial. A grande maioria da população obesa desenvolve patologias associadas que consequentemente levam à diminuição da esperança média de vida. Estas incluem diabetes tipo 2 (T2DM), aterosclerose, esteatose hepática, doenças cardiovasculares e ainda alguns tipos de cancro, Dado que as estratégias atuais são ainda pouco eficazes, no que se refere ao tratamento da obesidade, é urgente que se investiguem novas terapias, nomeadamente a modulação do tecido adiposo branco (WAT). No WAT, as vias metabólicas da glicose e dos lípidos convergem no ciclo dos glicerolípidos/ácidos gordos livres (TG/ (GL+FFA)), sendo este considerado um ciclo fútil dado que não gera produtos enquanto consome substratos energéticos. A diminuição da atividade deste ciclo em situações de obesidade e diabetes diminui a oxidação de substratos e aumenta o armazenamento de ácidos gordos (FFA) no WAT. Assim, a estimulação deste ciclo fútil surge como um potencial alvo terapêutico. Porém, a oxidação de substratos implica a estimulação simultânea do ciclo fútil e da função mitocondrial sendo que, até à data, não existe um mecanismo capaz de acoplar estes processos. O ácido quenodesoxicólico (CDCA) é um ácido biliar conhecido pelos seus efeitos anti-obesidade, no entanto, o seu mecanismo de ação é ainda controverso. O CDCA activa dois reguladores da transcrição de genes metabólicos envolvidos no ciclo TG/ (GL+FFA), na capacidade oxidativa mitocondrial e na β-oxidação, o PPARα e o PPARγ. Assim, a nossa hipótese propõe que o CDCA medeia o acoplamento do ciclo fútil com o gasto energético no WAT, aumentando simultaneamente as taxas de atividade do ciclo fútil e de oxidação mitocondrial de substratos. Este trabalho foca-se na avaliação das alterações metabólicas no ciclo TG/ (GL+FFA), na linha celular 3T3-L1, induzidas pelo CDCA. Especificamente, avaliou-se se a exposição ao CDCA altera a atividade deste ciclo, se essa alteração está relacionada com uma melhoria no perfil metabólico e ainda se o metabolismo mitocondrial está envolvido. As células expostas ao CDCA demonstraram uma diminuição na acumulação de lípidos e um aumento no conteúdo de proteína desacopladora-1 (UCP-1), o que por sua vez diminui a produção de espécies reactivas de oxigénio (ROS). Adicionalmente, a exposição ao CDCA induziu um aumento na gliceroneógenese, sugerindo, assim, um aumento na atividade do ciclo TG/ (GL+FFA). Dessa forma, a administração de CDCA parece ser uma estratégia terapêutica atrativa no combate à obesidade e à T2DM. No entanto, uma questão mantém-se, o que leva à redução da acumulação dos triglicerídeos (TG)? Com base nos resultados obtidos, o CDCA aumenta a expressão dos genes envolvidos na β-oxidação e na biogénese mitocondrial, mas não existem diferenças na oxidação dos FFA entre o controlo e as células expostas ao CDCA. Uma possível explicação é que os lípidos estejam a ser exportados para o meio. No entanto, este é um estudo in vitro, logo seria interessante perceber o destino destes lípidos in vivo. Finalmente a possível ocorrência de compartimentalização metabólica abre novas perspectivas para trabalhos futuros.
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42

Annor, Dickson Yaw Badu. "On the Varieties of Representations into GL(4;C): The Trefoil Knot." Thesis, The University of Sydney, 2018. http://hdl.handle.net/2123/19002.

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Following the foundational work of Thurston, Culler and Shalen, the varieties of representations and characters of 3-manifold groups into SL(2,C) have been extensively studied, as both reflect geometric and topological properties of 3-manifolds. However, much less is known about the representations of 3-manifold groups into other Lie groups, notably SL(n,C) with n ≥3. This thesis investigates the representations of the fundamental group of the trefoil knot complement (denoted Γ) into the group GL(4,C). In particular, it studies the various types of representations of Γ into SL(2,C), SL(3,C), SL(4C) and GL(4, C). The main results describe character varieties of various types of such representations, imposing various conditions on reducibility. We determine all representations up to conjugacy, using results of Fricke for SL(2,C) and Lawton for SL(3,C). Parametrisations and reducibility criteria of some types of representations are also given. This is then extended to GL(4,C) and some geometric properties are studied.
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43

FRAGA, E. R. "POLÍTICA EDUCATIVA DE JOVENS E ADULTOS NO BRASIL NO CONTEXTO DA AGENDA GLOBALMENTE ESTRUTURADA PARA EDUCAÇÃO." Universidade Federal do Espírito Santo, 2017. http://repositorio.ufes.br/handle/10/8534.

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Esta pesquisa teve como objetivo geral analisar as políticas educativas de jovens e adultos no Brasil, seus contornos na transição do milênio, entre 2000 e 2015, bem como suas relações com a Agenda Globalmente Estruturada para a Educação (AGEE), e os tensionamentos promovidos no âmbito da sociedade civil. Preconizada por Roger Dale (2010), a AGEE possibilita compreender os impactos da globalização na reconfiguração do papel do Estado, e como os Organismos Internacionais (OI) se tornam representantes dessa agenda para induzir e padronizar as políticas públicas em âmbito transnacional. Partimos da hipótese de que a política internacional, que vem se consolidando no Brasil, integra uma agenda globalmente estruturada para a educação, que envolve agendas globais como a Educação para Todos (EPT), os Objetivos do Desenvolvimento do Milênio (ODM), os Objetivos para o Desenvolvimento Sustentável (ODS) e as que contemplam a EJA, como as Confinteas. Como suporte teórico, operamos com as categorias globalização, política educativa e suas relações com o Estado na formulação das políticas públicas, com base na sociologia política (IANNI, 1994; 1997), (HELD, 1984; 2002) e (TORRES, 2001; 2003) e na teoria política (GRAMSCI, 1978; 2001), (DUSSEL, 1977; 1993). Os fundamentos epistemológicos do Realismo Crítico (BASKAR,1978) são tomados como referência para a construção das análises que fomos produzindo no decorrer da investigação, sustentando assim metodologia mista que envolveu: pesquisa documental; recolha de dados oficiais do Instituto Brasileiro de Geografia e Estatística (IBGE), da Pesquisa Nacional de Amostra Populacional (Pnad) e Instituto Nacional de Estatística e Pesquisa Anísio Teixeira (INEP), bem como;a utilização da ferramenta NVivo 11 co mo ferramenta qualitativa de análise de dados.No processo investigativo descrevemos e buscamos analisar criticamente os relatórios do Banco Mundial (BM), da Organização para a Cooperação do Desenvolvimento Econômico (OCDE), da EPT, ODM, ODS e V e VI Confinteas. Em âmbito nacional, os documentos específicos da Educação de Jovens e Adultos e os relatórios dos Encontros Nacionais de educação e Jovens e Adultos (ENEJA) estiveram em foco. As análises realizadas nos levam a afirmar a incidência da lógica neoliberal expressa nas orientações dos OI sobre as políticas educativas de EJA que vêm se desenvolvendo no Brasil, no período estudado, através de mecanismos, processos e eventos que evidenciam uma reconfiguração do papel do Estado voltado para responder às demandas do mercado em detrimento das demandas da sociedade civil. As políticas de redução da pobreza, de promoção da alfabetização, de focalização nos grupos mais vulneráveis, desenvolvimento econômico e a ênfase na educação e aprendizagem ao longo da vida, dentre outras categorias, incidem expressamente na formulação das políticas educativas de EJA, desafiando a capacidade de tensionamento da sociedade civil, em específico os Fóruns de EJA, na mudança dos rumos das políticas educativas. Reafirma-se, assim, a submissão do Estado brasileiro a uma Agenda Globalmente Estruturada para a Educação.
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44

Drouot, Francois. "Quelques propriétés des représentations de la super-algèbre de Lie gl(m,n)." Phd thesis, Université Henri Poincaré - Nancy I, 2008. http://tel.archives-ouvertes.fr/tel-00371432.

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Cette thèse consiste en une étude des représentations de dimension finie de la super-algèbre de Lie gl(m,n). Dans le premier chapitre nous rappelons des résultats sur ces super-algèbres de Lie. Dans le second chapitre nous étudions les représentations simples de gl(2,2). Ces modules peuvent être obtenus comme quotient de modules induits dont on connaît les suites de composition, ce qui nous permet de calculer une formule des caractères finie explicite. Dans le troisième chapitre nous étudions les représentations d'une déformation quantique de l'algèbre enveloppante de gl(m,n). Nous rappelons tout d'abord la construction des bases cristallines pour les facteurs directs de puissances tensorielles de la représentation standard. Nous montrons, en affaiblissant la notion de cristal, l'existence de bases cristallines pour des modules qui ne sont pas semi-simpes, et nous donnons une méthode pour les construire. Le quatrième chapitre porte sur le dévissage du bloc maximalement atypique de la catégorie des représentations de dimension finie de gl(2,2). La connaissance de la sous-catégorie pleine des modules projectifs maximalement atypiques nous permet de reconstituer la catégorie. Nous étudions dans un premier temps les modules projectifs indécomposables et nous donnons leurs suites de Loewy. Puis dans un deuxième temps nous étudions leurs morphismes. Pour terminer nous formulons une conjecturons sur la composition de ces morphismes.
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45

Fronza, Bruna Rodrigues. "Efeito da laserterapia no funcionamento da gl?ndula tire?ide : estudos em coelhos." Pontif?cia Universidade Cat?lica do Rio Grande do Sul, 2009. http://tede2.pucrs.br/tede2/handle/tede/1025.

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Este estudo teve por objetivo avaliar o efeito da laserterapia no funcionamento da gl?ndula tire?ide, atrav?s da mensura??o dos n?veis hormonais de triiodotironina (T3) e tiroxina (T4) no soro sang??neo de coelhos. Para tanto, foram utilizados 24 coelhos da ra?a Nova Zel?ndia, machos, distribu?dos aleatoriamente em tr?s grupos: o grupo controle (animais n?o irradiados), grupo EI (laser aplicado sobre o alv?olo p?s-extra??o do incisivo inferior) e grupo EII (laser aplicado sobre a regi?o da gl?ndula tire?ide). Todos os animais foram submetidos ? exodontia do incisivo inferior esquerdo, criando uma condi??o cl?nica inicial de igualdade entre os grupos. Os animais dos grupos experimentais foram irradiados, com o laser GaAlAs (λ=830 nm, 40mW), durante 13 dias, a cada 48 horas, com uma dose de 120 J/cm? por sess?o. O protocolo de irradia??o foi iniciado imediatamente ap?s o procedimento cir?rgico nos animais. As dosagens hormonais de T3 e T4 foram realizadas nos tr?s grupos antes da exodontia e no ?ltimo dia de observa??o do experimento (15? dia). Os resultados obtidos n?o demonstraram diferen?as estatisticamente significativas nos valores de T3 e T4 pr? e p?s-aplica??o do laser entre os grupos estudados. Conclui-se que a laserterapia, no protocolo de irradia??o utilizado neste estudo, n?o alterou os n?veis hormonais de T3 e T4 circulantes no soro de coelhos.
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46

Almeida, Diego Dantas. "An?lise do transcriptoma das gl?ndulas venenosas do escorpi?o Tityus stigmurus." Universidade Federal do Rio Grande do Norte, 2011. http://repositorio.ufrn.br:8080/jspui/handle/123456789/12593.

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Conselho Nacional de Desenvolvimento Cient?fico e Tecnol?gico
In Brazil, accidents with scorpions are considered of medical importance, not only by the high incidence, but also for the potentiality of the venom from some species in determining severe clinical conditions. Tityus stigmurus is a widely distributed scorpion species in Northeastern Brazil and known to cause severe human envenomations, inducing pain, hyposthesia, edema, erythema, paresthesia, headaches and vomiting. The present study uses a transcriptomic approach to characterize the molecular repertoire from the non-stimulated venom gland of Tityus stigmurus scorpion. A cDNA library was constructed and 540 clones were sequenced and grouped into 37 clusters, with more than one EST (expressed sequence tag) and 116 singlets. Forty-one percent of ESTs belong to recognized toxin-coding sequences, with antimicrobial toxins (AMP-like) the most abundant transcripts, followed by alfa KTx- like, beta KTx-like, beta NaTx-like and alfa NaTx-like. Our analysis indicated that 34% include other possible venom molecules , whose transcripts correspond to anionic peptides, hypothetical secreted peptides, metalloproteinases, cystein-rich peptides and lectins. Fifteen percent of ESTs are similar to cellular transcripts. Sequences without good matches corresponded to 11%. This investigation provides the first global view of cDNAs from Tityus stigmurus. This approach enables characterization of a large number of venom gland component molecules, which belong either to known or atypical types of venom peptides and proteins from the Buthidae family
No Brasil, acidentes com escorpi?es s?o considerados de import?ncia m?dicosanit?ria, n?o somente por sua incid?ncia, mas tamb?m pela potencialidade do veneno de algumas esp?cies em determinar quadros cl?nicos graves. Tityus stigmurus ? uma esp?cie de escorpi?o amplamente distribu?da na regi?o Nordeste do Brasil sendo conhecida por causar graves envenenamentos humanos, cujos sintomas incluem: dor, hipoestesia, edema, eritema, parestesia, cefal?ia e v?mitos. A composi??o qu?mica do veneno do escorpi?o T. stigmurus ainda n?o foi bem avaliada, havendo uma car?ncia na literatura de estudos com enfoque na elucida??o do repert?rio molecular dos componentes deste veneno. Neste trabalho, realizamos uma abordagem transcript?mica para caracterizar o repert?rio molecular da gl?ndula de veneno n?o-estimulada do escorpi?o Tityus stigmurus. Para tanto, uma biblioteca de cDNA foi constru?da e, ? partir dela, 540 genes foram clonados e agrupados em 37 clusters com mais de um EST (expressed sequence tag) e 116 singlets (somente um EST). Do total de transcritos, 41% pertencem a sequ?ncias de toxinas conhecidas, sendo os pept?deos antimicrobianos (AMPs) os transcritos mais abundantes, seguido por α-KTX, β- KTX, β-NaTx e α-NaTx, respectivamente. Nossa an?lise revelou ainda que 34% s?o "poss?veis toxinas", cujos transcritos correspondem a pept?deos ani?nicos, pept?deos hipot?ticos secretados, metaloproteases, pept?deos ricos em ciste?na e lectinas. Quinze por cento dos ESTs s?o semelhantes a transcritos celulares. Transcritos sem similaridade com outras sequ?ncias do GenBank, foram chamadas de no hit e correspondem a 11% do total. Este trabalho apresenta a primeira vis?o global de cDNAs das gl?ndulas venenosas do escorpi?o Tityus stigmurus. Esta abordagem permite a caracteriza??o de um grande n?mero de mol?culas componentes da gl?ndula de veneno, que pertencem a tipos conhecidos ou at?picos de pept?deos e prote?nas do veneno da fam?lia Buthidae
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47

Castello, Manky Luis Fernando, Iturrizaga Miguel Augusto Grados, and Okumura Ciro Hudson. "Plan estratégico para la empresa Global Logistics (GL) para el periodo 2017-2019." Master's thesis, Universidad del Pacífico, 2017. http://hdl.handle.net/11354/1712.

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El presente trabajo de investigación tiene como finalidad el desarrollo de un plan estratégico para la empresa Global Logistics (GL) para los años 2017 a 2019. Inicia con el análisis y diagnóstico situacional, donde se analiza el macroentorno en base al análisis PESTEL y luego se procede a analizar la industria considerando las cinco fuerzas de Porter, para, finalmente, determinar las oportunidades y amenazas que enfrenta la empresa. Una vez concluido el análisis y diagnóstico situacional, se realiza el análisis interno. Se evalúa el modelo de negocio y la cadena de valor para determinar las fortalezas y debilidades de GL. Asimismo, se evalúan los recursos y capacidades para determinar la ventaja competitiva de la empresa. Luego se realiza el estudio de mercado para definir la demanda potencial del sector en base a data histórica y proyecciones del PBI, determinando un crecimiento estimado para la empresa. Una vez concluida esta parte del análisis, se inicia con el plan estratégico, que define la visión, la misión y los objetivos que deberá seguir la empresa. En base a herramientas como el análisis FODA, la matriz PEYEA, la matriz IE y la matriz cuantitativa de planeación estratégica (MCPE), se determinan las estrategias a implementar en GL. Posteriormente, se realizan los planes funcionales (marketing, operaciones, recursos humanos, responsabilidad social empresarial y finanzas), donde se detallan los planes de acción que se deberán considerar para lograr los objetivos planteados. Finalmente, se presentan las conclusiones obtenidas y las recomendaciones para el futuro.
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48

Drouot, François. "Quelques propriétés des représentations de la super-algèbre de Lie gl(m, n)." Thesis, Nancy 1, 2008. http://www.theses.fr/2008NAN10069/document.

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Cette thèse consiste en une étude des représentations de dimension finie de la super-algèbre de Lie gl(m,n). Dans le premier chapitre nous rappelons des résultats sur ces super-algèbres de Lie. Dans le second chapitre nous étudions les représentations simples de gl(2,2). Ces modules peuvent être obtenus comme quotient de modules induits dont on connaît les suites de composition, ce qui nous permet de calculer une formule des caractères finie explicite. Dans le troisième chapitre nous étudions les représentations d'une déformation quantique de l'algèbre enveloppante de gl(m,n). Nous rappelons tout d'abord la construction des bases cristallines pour les facteurs directs de puissances tensorielles de la représentation standard. Nous montrons, en affaiblissant la notion de cristal, l'existence de bases cristallines pour des modules qui ne sont pas semi-simpes, et nous donnons une méthode pour les construire. Le quatrième chapitre porte sur le dévissage du bloc maximalement atypique de la catégorie des représentations de dimension finie de gl(2,2). La connaissance de la sous-catégorie pleine des modules projectifs maximalement atypiques nous permet de reconstituer la catégorie. Nous étudions dans un premier temps les modules projectifs indécomposables et nous donnons leurs suites de Loewy. Puis dans un deuxième temps nous étudions leurs morphismes. Pour terminer nous formulons une conjecturons sur la composition de ces morphismes
This thesis is a study of finite dimensional representations of the Lie superalgebra gl(m,n). In the first chapter we recall some results on these Lie superalgebra. In the second chapter we study the simple representations of gl(2.2). These modules can be obtained as quotient of some induced modules, the knowledge of the composition series of these modules allow us to compute an explicit finite character forumula for simple modules. In the third chapter we look at representations of a quantum deformation of the universal enveloping algebra of gl(m,n). We first recall the construction of crystal bases for the direct factors of a tensor power of the standard representation. We show by weakening the definition of crystal, that there exist crystal bases for non-semisimple modules, and we give a way to construct them. The fourth chapter focuses on the understanding of the maximaly atypical block of the category of finite dimensional representations of gl(2.2). Knowing the full subcategory of projective maximally atypical modules allows us to reconstruct the category. First, we study the projective indecomposable modules, and we compute their Loewy series. We then study their morphisms. Finally we make a conjecture on the composition of those morphisms
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49

Upton, Margaret Grace. "Galois representations attached to Picard curves and traces of Hecke operators for GL₂." Diss., Restricted to subscribing institutions, 2007. http://proquest.umi.com/pqdweb?did=1464114051&sid=1&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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50

Drouot, François Gruson Caroline. "Quelques propriétés des représentations de la super-algèbre de Lie gl(m, n)." S. l. : Nancy 1, 2008. http://www.scd.uhp-nancy.fr/docnum/SCD_T_2008_0069_DROUOT.pdf.

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