Relevant bibliographies by topics / Diagram algebra / Dissertations / Theses
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Dissertations / Theses on the topic 'Diagram algebra'

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Published: 4 June 2021
Last updated: 21 February 2023

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1

Ahmed, Chwas Abas. "Representation theory of diagram algebras : subalgebras and generalisations of the partition algebra." Thesis, University of Leeds, 2016. http://etheses.whiterose.ac.uk/15997/.

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This thesis concerns the representation theory of diagram algebras and related problems. In particular, we consider subalgebras and generalisations of the partition algebra. We study the d-tonal partition algebra and the planar d-tonal partition algebra. Regarding the d-tonal partition algebra, a complete description of the J -classes of the underlying monoid of this algebra is obtained. Furthermore, the structure of the poset of J -classes of the d-tonal partition monoid is also studied and numerous combinatorial results are presented. We observe a connection between canonical elements of the
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2

Wilcox, Stewart. "Cellularity of Twisted Semigroup Algebras of Regular Semigroups." Thesis, The University of Sydney, 2005. http://hdl.handle.net/2123/720.

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There has been much interest in algebras which have a basis consisting of diagrams, which are multiplied in some natural diagrammatic way. Examples of these so-called diagram algebras include the partition, Brauer and Temperley-Lieb algebras. These three examples all have the property that the product of two diagram basis elements is always a scalar multiple of another basis element. Motivated by this observation, we find that these algebras are examples of twisted semigroup algebras. Such algebras are an obvious extension of twisted group algebras, which arise naturally in various contexts; e
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3

Corwin, Stephen P. "Representation theory of the diagram An over the ring k[[x]]." Diss., Virginia Polytechnic Institute and State University, 1986. http://hdl.handle.net/10919/50001.

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Fix R = k[[x]]. Let Q<sub>n</sub> be the category whose objects are ((M₁,...,M<sub>n</sub>),(f₁,...,f<sub>n-1</sub>)) where each M<sub>i</sub> is a free R-module and f<sub>i</sub>:M<sub>i</sub>⟶M<sub>i+1</sub> for each i=1,...,n-1, and in which the morphisms are the obvious ones. Let β<sub>n</sub> be the full subcategory of Ω<sub>n</sub> in which each map f<sub>i</sub> is a monomorphism whose cokernel is a torsion module. It is shown that there is a full dense functor Ω<sub>n</sub>⟶β<sub>n</sub>. If X is an object of β<sub>n</sub>, we say that X <u>diagonalizes</u> if X is isomorphic to a dire
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4

Wilcox, Stewart. "Cellularity of Twisted Semigroup Algebras of Regular Semigroups." University of Sydney. Mathematics and Statistics, 2006. http://hdl.handle.net/2123/720.

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There has been much interest in algebras which have a basis consisting of diagrams, which are multiplied in some natural diagrammatic way. Examples of these so-called diagram algebras include the partition, Brauer and Temperley-Lieb algebras. These three examples all have the property that the product of two diagram basis elements is always a scalar multiple of another basis element. Motivated by this observation, we find that these algebras are examples of twisted semigroup algebras. Such algebras are an obvious extension of twisted group algebras, which arise naturally in various contexts; e
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5

Aguirre, Diana. "PROGENITORS, SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS." CSUSB ScholarWorks, 2018. https://scholarworks.lib.csusb.edu/etd/624.

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Abstract In this project, we searched for new constructions and symmetric presentations of important groups, nonabelian simple groups, their automorphism groups, or groups that have these as their factor groups. My target nonabelian simple groups included sporadic groups, linear groups, and alternating groups. In addition, we discovered finite groups as homomorphic images of progenitors and proved some of their isomorphism type and original symmetric presentations. In this thesis we found original symmeric presentations of M12, J1 and the simplectic groups S(4,4) and S(3,4) on various con- tro
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6

Michael, Ifeanyi Friday. "On a unified categorical setting for homological diagram lemmas." Thesis, Stellenbosch : Stellenbosch University, 2011. http://hdl.handle.net/10019.1/18085.

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Thesis (MSc)--Stellenbosch University, 2011.<br>ENGLISH ABSTRACT: Some of the diagram lemmas of Homological Algebra, classically known for abelian categories, are not characteristic of the abelian context; this naturally leads to investigations of those non-abelian categories in which these diagram lemmas may hold. In this Thesis we attempt to bring together two different directions of such investigations; in particular, we unify the five lemma from the context of homological categories due to F. Borceux and D. Bourn, and the five lemma from the context of modular semi-exact categories i
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7

Antrobus, Jared E. "The State of Lexicodes and Ferrers Diagram Rank-Metric Codes." UKnowledge, 2019. https://uknowledge.uky.edu/math_etds/66.

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In coding theory we wish to find as many codewords as possible, while simultaneously maintaining high distance between codewords to ease the detection and correction of errors. For linear codes, this translates to finding high-dimensional subspaces of a given metric space, where the induced distance between vectors stays above a specified minimum. In this work I describe the recent advances of this problem in the contexts of lexicodes and Ferrers diagram rank-metric codes. In the first chapter, we study lexicodes. For a ring R, we describe a lexicographic ordering of the left R-module Rn. With
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8

Bowman, Christopher David. "Algebraic groups, diagram algebras, and their Schur-Weyl dualities." Thesis, University of Cambridge, 2012. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.610216.

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9

Imaev, Aleksey A. "Hierarchical Modeling of Manufacturing Systems Using Max-Plus Algebra." Ohio University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1257871858.

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10

King, Oliver. "The representation theory of diagram algebras." Thesis, City University London, 2014. http://openaccess.city.ac.uk/5915/.

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In this thesis we study the modular representation theory of diagram algebras, in particular the Brauer and partition algebras, along with a brief consideration of the Temperley-Lieb algebra. The representation theory of these algebras in characteristic zero is well understood, and we show that it can be described through the action of a reflection group on the set of simple modules (a result previously known for the Temperley-Lieb and Brauer algebras). By considering the action of the corresponding affine reflection group, we give a characterisation of the (limiting) blocks of the Brauer and
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11

Shand, Duncan. "Proof diagrams and term rewriting with applications to computational algebra." Thesis, University of St Andrews, 1997. http://hdl.handle.net/10023/13498.

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In this thesis lessons learned from the use of computer algebra systems and machine assisted theorem provers are developed in order to give an insight into both the problems and their solutions. Many algorithms in computational algebra and automated deduction (for example Grobner basis computations and Knuth-Bendix completion) tend to produce redundant facts and can contain more than one proof of any particular fact. This thesis introduces proof diagrams in order to compare and contrast the proofs of facts which such procedures generate. Proof diagrams make it possible to analyse the effect of
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12

Paul, Inga [Verfasser], and Steffen [Akademischer Betreuer] König. "Structure theory for cellularly stratified diagram algebras / Inga Paul. Betreuer: Steffen König." Stuttgart : Universitätsbibliothek der Universität Stuttgart, 2015. http://d-nb.info/1068810904/34.

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13

Wilson, Wilf A. "Computational techniques in finite semigroup theory." Thesis, University of St Andrews, 2019. http://hdl.handle.net/10023/16521.

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A semigroup is simply a set with an associative binary operation; computational semigroup theory is the branch of mathematics concerned with developing techniques for computing with semigroups, as well as investigating semigroups with the help of computers. This thesis explores both sides of computational semigroup theory, across several topics, especially in the finite case. The central focus of this thesis is computing and describing maximal subsemigroups of finite semigroups. A maximal subsemigroup of a semigroup is a proper subsemigroup that is contained in no other proper subsemigroup. We
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Felisberto, Valente Gustavo. "The Eulerian Bratteli Diagram and Traces on Its Associated Dimension Group." Thesis, Université d'Ottawa / University of Ottawa, 2020. http://hdl.handle.net/10393/40608.

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In this thesis we present two important closely related examples of Bratteli diagrams: the Pascal triangle and the Eulerian Bratteli diagram. The former is well-known and related to binomial coefficients. The latter, which is the main object of the thesis, is related to the Eulerian numbers. Bratteli diagrams were introduced in 1972 by Ola Bratteli in his study of approximately finite dimensional (AF) C*-algebras. In 1976, George Arthur Elliott associated to an AF C*-algebra or to a corresponding Bratteli diagram an ordered group, he called dimension group. In the first part of the thesi
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15

Didt, Daniel. "Linkable Dynkin diagrams and quasi-isomorphisms for finite dimensional pointed Hopf algebras." [S.l.] : [s.n.], 2002. http://edoc.ub.uni-muenchen.de/archive/00000785.

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16

Souto, Gonçalves De Abreu Samuel François. "Cuts, discontinuities and the coproduct of Feynman diagrams." Thesis, University of Edinburgh, 2015. http://hdl.handle.net/1842/14173.

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We study the relations among unitarity cuts of a Feynman integral computed via diagrammatic cutting rules, the discontinuity across the corresponding branch cut, and the coproduct of the integral. For single unitarity cuts, these relations are familiar, and we show that they can be generalized to cuts in internal masses and sequences of cuts in different channels and/or internal masses. We develop techniques for computing the cuts of Feynman integrals in real kinematics. Using concrete one- and two-loop scalar integral examples we demonstrate that it is possible to reconstruct a Feynman integr
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17

Didt, Daniel. "Linkable Dynkin diagrams and Quasi-isomorphisms for finite dimensional pointed Hopf algebras." Diss., lmu, 2003. http://nbn-resolving.de/urn:nbn:de:bvb:19-7854.

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18

SANTACATTERINA, MARTIN PABLO. "CLASSIFICATION OF REAL SEMI-SIMPLE LIE ALGEBRAS BY MEANS OF SATAKE DIAGRAMS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2017. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=32456@1.

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PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO<br>COORDENAÇÃO DE APERFEIÇOAMENTO DO PESSOAL DE ENSINO SUPERIOR<br>PROGRAMA DE SUPORTE À PÓS-GRADUAÇÃO DE INSTS. DE ENSINO<br>PROGRAMA DE EXCELENCIA ACADEMICA<br>Iniciamos o trabalho com uma revisão da classificação de álgebras de Lie semi-simples sobre corposo algebraicamente fechados de caracteristica zero a traves dos Diagramas de Dyinkin. Posteriormente estudamos sigma - sistemas normais e classificamos eles a traves de diagramas de Satake. Finalmente estudamos a estrutura das formas reais de álgebras de Lie semi-simples complexas, explici
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19

Hamdi, Adel. "Combinatoire des opérateurs non-commutatifs et polynômes orthogonaux." Thesis, Lyon 1, 2012. http://www.theses.fr/2012LYO10142.

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Cette thèse se divise en deux grandes parties, la première traite la combinatoire associée à l’ordre normal des opérateurs non-commutatifs et la seconde aborde des distributions symétriques du nombre de croisements et du nombre d’emboîtements, respectivement k-croisements et k-emboîtements, dans des structures combinatoires (partitions, permutations, permutations colorées, …). La première partie étudie l’ordre normal des opérateurs en termes de placements de tours. Nous étudions la forme de l’ordre normal en connectant deux opérateurs non-commutatifs D et U, et des polynômes orthogonaux spécia
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20

Adamou, Ibrahim. "Curvas y Superficies Bisectrices y Diagrama de Voronoi de una familia finita de semirrectas paralelas en R3." Doctoral thesis, Universidad de Cantabria, 2013. http://hdl.handle.net/10803/123824.

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Cette thèse est composée de trois parties principales : les calculs des courbes médiatrices de deux courbes ou d’un point et d’une courbe dans le plan, des surfaces médiatrices de deux surfaces dans R3, et du diagramme de Voronoï d’une famille finie de demi-droites parallèles de même orientation. Ces trois sujets sont étroitement liés et trouvent des applications dans le domaine de la CAO/CGAO et de la géométrie algorithmique. Dans ces trois sujets, nous allons présenter des méthodes algorithmiques pour obtenir une certaine représentation de l’objet qui nous intéresse : la courbe médiatrice, l
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21

Oliveira, Leonardo Gomes. "Álgebras de Lie semi-simples." Universidade de São Paulo, 2009. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-27052009-113224/.

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A dissertação tem como tema as álgebras de Lie. Especificamente álgebras de Lie semi-simples e suas propriedades . Para encontramos essas propriedades estudamos os conceitos básicos da teoria das álgebras de Lie e suas representações. Então fizemos a classificação dessas álgebras por diagramas de Dynkin explicitando quais os possíveis diagramas que são associados a uma álgebra de Lie semi-simples. Por fim, demonstramos vários resultados concernentes a essa classificação, dentre esses, o principal resultado demonstrado foi: os diagramas de Dynkin são um invariante completo das álgebras de Lie s
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22

FRANÇA, Antonio Marcos Duarte. "Expoentes de PI-Álgebras associativas." Universidade Federal de Campina Grande, 2014. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1398.

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Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-08-09T18:04:07Z No. of bitstreams: 1 ANTONIO MARCOS DUARTE DE FRANÇA - DISSERTAÇÃO 2014..pdf: 1066992 bytes, checksum: 6e270db1611e61d65507f5f99e9bd161 (MD5)<br>Made available in DSpace on 2018-08-09T18:04:07Z (GMT). No. of bitstreams: 1 ANTONIO MARCOS DUARTE DE FRANÇA - DISSERTAÇÃO 2014..pdf: 1066992 bytes, checksum: 6e270db1611e61d65507f5f99e9bd161 (MD5) Previous issue date: 2014-10<br>Capes<br>Para ler o resumo deste trabalho recomendamos o download do arquivo, uma vez que o mesmo possui fórmulas e caracteres matemáticos
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23

Hadzihasanovic, Amar. "The algebra of entanglement and the geometry of composition." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:711fc159-cd6a-42c3-a4b6-7ed7f594f781.

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String diagrams turn algebraic equations into topological moves that have recurring shapes, involving the sliding of one diagram past another. We individuate, at the root of this fact, the dual nature of polygraphs as presentations of higher algebraic theories, and as combinatorial descriptions of "directed spaces". Operations of polygraphs modelled on operations of topological spaces are used as the foundation of a compositional universal algebra, where sliding moves arise from tensor products of polygraphs. We reconstruct several higher algebraic theories in this framework. In this regard, t
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24

Güntürkün, Sema. "HOMOGENEOUS GORENSTEIN IDEALS AND BOIJ SÖDERBERG DECOMPOSITIONS." UKnowledge, 2014. http://uknowledge.uky.edu/math_etds/15.

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This thesis consists of two parts. Part one revolves around a construction for homogeneous Gorenstein ideals and properties of these ideals. Part two focuses on the behavior of the Boij-Söderberg decomposition of lex ideals. Gorenstein ideals are known for their nice duality properties. For codimension two and three, the structures of Gorenstein ideals have been established by Hilbert-Burch and Buchsbaum-Eisenbud, respectively. However, although some important results have been found about Gorenstein ideals of higher codimension, there is no structure theorem proven for higher codimension case
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25

Leyva, Daviel. "The Systems of Post and Post Algebras: A Demonstration of an Obvious Fact." Scholar Commons, 2019. https://scholarcommons.usf.edu/etd/7844.

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In 1942, Paul C. Rosenbloom put out a definition of a Post algebra after Emil L. Post published a collection of systems of many–valued logic. Post algebras became easier to handle following George Epstein’s alternative definition. As conceived by Rosenbloom, Post algebras were meant to capture the algebraic properties of Post’s systems; this fact was not verified by Rosenbloom nor Epstein and has been assumed by others in the field. In this thesis, the long–awaited demonstration of this oft–asserted assertion is given. After an elemental history of many–valued logic and a review of basic Class
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26

Palmieri, Riccardo. "Real forms of Lie algebras and Lie superalgebras." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/9448/.

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In questa tesi abbiamo studiato le forme reali di algebre e superalgebre di Lie. Il lavoro si suddivide in tre capitoli diversi, il primo è di introduzione alle algebre di Lie e serve per dare le prime basi di questa teoria e le notazioni. Nel secondo capitolo abbiamo introdotto le algebre compatte e le forme reali. Abbiamo visto come sono correlate tra di loro tramite strumenti potenti come l'involuzione di Cartan e relativa decomposizione ed i diagrammi di Vogan e abbiamo introdotto un algoritmo chiamato "push the button" utile per verificare se due diagrammi di Vogan sono equivalenti. Il te
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27

Altmann, Kristina. "Centralisers of fundamental subgroups." Phd thesis, kostenfrei, 2007. http://elib.tu-darmstadt.de/diss/000875.

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28

Vignoli, Massimiliano. "Sistemi di radici." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amslaurea.unibo.it/5926/.

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In questa tesi studiamo il ruolo dei sistemi di radici nella classificazione delle algebre di Lie e delle superalgebre di Lie. L'interesse per le superalgebre di Lie nasce nei primi anni '70 quando una parte dei fisici si convinse che sarebbe stato più utile e molto più chiaro riuscire ad avere uno schema di riferimento unitario in cui non dovesse essere necessario trattare separatamente particelle fisiche come bosoni e fermioni. Una teoria sistematica sulle superalgebre di Lie fu introdotta da V. Kac nel 1977 che diede la classificazione delle superalgebre di Lie semplici su un campo algebric
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29

Billi, Simone. "Quiver e loro rappresentazioni: il Teorema di Gabriel." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/16432/.

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Un quiver è costituito da un insieme di vertici e un insieme di frecce fra di essi.Verrà introdotta la nozione di rappresentazione per un quiver che abbia un numero finito di vertici e frecce. La categoria delle rappresentazioni e loro morfismi è equivalente a quella degli A-moduli destri dove A è l'algebra dei cammini del quiver, ovvero l' algebra che ha come base tutti i cammini ottenibili percorrendo le frecce e come prodotto quello indotto dalla composizione di cammini. Dal punto di vista della teoria delle rappresentazioni lo studio delle algebre finito dimensionali si riduce allo studio
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Mammez, Cécile. "Deux exemples d'algèbres de Hopf d'extraction-contraction : mots tassés et diagrammes de dissection." Thesis, Littoral, 2017. http://www.theses.fr/2017DUNK0459/document.

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Ce manuscrit est consacré à l'étude de la combinatoire de deux algèbres de Hopf d'extraction-contraction. La première est l'algèbre de Hopf de mots tassés WMat introduite par Duchamp, Hoang-Nghia et Tanasa dont l'objectif était la construction d'un modèle de coproduit d'extraction-contraction pour les mots tassés. Nous expliquons certains sous-objets ou objets quotients ainsi que des applications vers d'autres algèbres de Hopf. Ainsi, nous considérons une algèbre de permutations dont le dual gradué possède un coproduit de déconcaténation par blocs et un produit de double battage décalé. Le dou
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López, Neumann Daniel. "Kuperberg invariants for sutured 3-manifolds." Thesis, Université de Paris (2019-....), 2020. http://www.theses.fr/2020UNIP7036.

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Dans cette thèse, on étudie les invariants quantiques des 3-variétés de Kuperberg, qui sont basées sur les algèbres de Hopf. On montre que, pour les super-algèbres de Hopf involutives, les invariants de Kuperberg s’étendent à la classe, plus générale, des 3-variétés suturées balancées et en particulier aux compléments d’entrelacs. Pour accomplir ceci, on relève plusieurs aspects de la théorie des torsions de Reidemeister au monde des invariants quantiques, tels que la procédure pour tordre des invariants, le calcul de Fox et les structures Spin^c, et on clarifie les aspects de la théorie des a
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Poulain, d. andecy Loic. "Algèbres de Hecke cyclotomiques : représentations, fusion et limite classique." Thesis, Aix-Marseille, 2012. http://www.theses.fr/2012AIXM4036/document.

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Une approche inductive est développée pour la théorie des représentations de la chaîne des algèbres de Hecke cyclotomiques de type G(m,1,n). Cette approche repose sur l'étude du spectre d'une famille commutative maximale, formée par les analogues des éléments de Jucys--Murphy.Les représentations irréductibles, paramétrées par les multi-partitions, sont construites avec l'aide d'une nouvelle algèbre associative, dont l'espace vectoriel sous-jacent est le produit tensoriel de l'algèbre de Hecke cyclotomique avec l'algèbre associative libre engendrée par les multi-tableaux standards.L'analogue de
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33

Gilliers, Nicolas. "Non-commutative gauge symmetry and pseudo-unitary diffusions." Thesis, Sorbonne université, 2019. http://www.theses.fr/2019SORUS113.

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Cette thèse est consacrée à l’étude de deux questions très différentes, reliées par les outils que nous utilisons pour les étudier. La première question est celle de la définition des théories de jauge sur un réseau avec un groupe de structure non commutatif. Ici, non commutatif ne signifie pas non Abelian, mais plutôt non commutatif au sens général de la géométrie non commutative. La deuxième question est celle du comportement des diffusions Browniennes sur des groupes matriciels non compacts d’un type spécifique, à savoir des groupes de matrices pseudo-orthogonales, pseudo-unitaires ou pseud
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Lewis, Elizabeth Faith. "Peter Guthrie Tait : new insights into aspects of his life and work : and associated topics in the history of mathematics." Thesis, University of St Andrews, 2015. http://hdl.handle.net/10023/6330.

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In this thesis I present new insights into aspects of Peter Guthrie Tait's life and work, derived principally from largely-unexplored primary source material: Tait's scrapbook, the Tait–Maxwell school-book and Tait's pocket notebook. By way of associated historical insights, I also come to discuss the innovative and far-reaching mathematics of the elusive Frenchman, C.-V. Mourey. P. G. Tait (1831–1901) F.R.S.E., Professor of Mathematics at the Queen's College, Belfast (1854–1860) and of Natural Philosophy at the University of Edinburgh (1860–1901), was one of the leading physicists and mathema
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Geri, Adam. "Dynkinovy diagramy komplexních polojednoduchých Lieových algeber." Master's thesis, 2015. http://www.nusl.cz/ntk/nusl-331705.

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36

"On efficient ordered binary decision diagram minimization heuristics based on two-level logic." 1999. http://library.cuhk.edu.hk/record=b5889831.

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by Chun Gu.<br>Thesis (M.Phil.)--Chinese University of Hong Kong, 1999.<br>Includes bibliographical references (leaves 69-71).<br>Abstract also in Chinese.<br>Chapter 1 --- Introduction --- p.3<br>Chapter 2 --- Definitions --- p.7<br>Chapter 3 --- Some Previous Work on OBDD --- p.13<br>Chapter 3.1 --- The Work of Bryant --- p.13<br>Chapter 3.2 --- Some Variations of the OBDD --- p.14<br>Chapter 3.3 --- Previous Work on Variable Ordering of OBDD --- p.16<br>Chapter 3.3.1 --- The FIH Heuristic --- p.16<br>Chapter 3.3.2 --- The Dynamic Variable Ordering --- p.17<br>Chapter 3.3.3 --- The I
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SIMON, MARTIN A. "AN EXTERNAL CONTROL STUDY OF DIAGRAM DRAWING SKILLS FOR THE SOLUTION OF ALGEBRA WORD PROBLEMS BY NOVICE PROBLEM-SOLVERS (FIGURES, HEURISTICS, SPATIAL REPRESENTATIONS, METACOGNITION)." 1986. https://scholarworks.umass.edu/dissertations/AAI8701220.

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Diagram drawing is generally accepted as an important heuristic strategy for solving mathematical problems. However, novice problem solvers do not frequently choose to use this strategy. Further, when asked to draw a diagram, their attempts often do not result in a useful representation of the problem. The exploratory study, which used individual interviews with remedial mathematics students at the University of Massachusetts, identified five factors that influence whether a diagram is used and whether its use is successful: (1) Understanding of the mathematics involved in the problem and of b
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Leung, Louis. "Classical Lie Algebra Weight Systems of Arrow Diagrams." Thesis, 2010. http://hdl.handle.net/1807/26366.

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The notion of finite type invariants of virtual knots, introduced by Goussarov, Polyak and Viro, leads to the study of the space of diagrams with directed chords mod 6T (also known as the space of arrow diagrams), and weight systems on it. It is well known that given a Manin triple together with a representation we can construct a weight system. In the first part of this thesis we develop combinatorial formulae for weight systems coming from standard Manin triple structures on the classical Lie algebras and these structures' defining representations. These formulae reduce the problem of fin
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Anton, François. "Voronoi diagrams of semi-algebraic sets." Phd thesis, 2003. http://tel.archives-ouvertes.fr/tel-00005932.

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La majorité des courbes et surfaces rencontrées dans la modélisation géométrique sont définies comme l'ensemble des solutions d'un système d'équations et d'inéquations algébriques (ensemble semi-algébrique). De nombreux problèmes dans différentes disciplines scientifiques font appel à des requètes de proximité telles que la recherche du ou des voisins les plus proches ou la quantification du voisinage de deux objets.<br /><br />Le diagramme de Voronoï d'un ensemble d'objets est une décomposition de l'espace en zones de proximité. La zone de proximité d'un objet est l'ensemble des points plus p
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Anton, François. "Voronoi diagrams of semi-algebraic sets." Thesis, 2004. http://hdl.handle.net/2429/15860.

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Most of the curves and surfaces encountered in geometric modelling are denned as the set of solutions of a system of algebraic equations and inequalities (semialgebraic sets). Many problems from different fields involve proximity queries like finding the (nearest) neighbours or quantifying the neighbourliness of two objects. The Voronoi diagram of a set of sites is a decomposition of space into proximal regions. The proximal region of a site is the locus of points closer to that site than to any other one. Voronoi diagrams allow one to answer proximity queries after locating a query poi
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Bauer, Christian [Verfasser]. "Use of computer algebra in the calculation of Feynman diagrams / Christian Bauer." 2005. http://d-nb.info/975883240/34.

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Ng, David. "Modeling circuit-level leakage current using algebraic decision diagrams." 2005. http://link.library.utoronto.ca/eir/EIRdetail.cfm?Resources__ID=370239&T=F.

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Lin, Shihchun, and 林施君. "The Study of Line-Diagram Representation on Algebraic Problem Solving Performance for Elementary School Students." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/70845027182030620507.

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碩士<br>國立屏東教育大學<br>數理教育研究所<br>101<br>The aim of this research was to find out the fifth grade students’ solving performance of the algebra problems by the teaching strategy of using “line-diagram” representation. The quasi-experimental methodology was adopted and 60 fifth-graders from two classes were chosen as subjects. The researcher taught the experimental group by five steps of “line-diagram” strategy. On the other side, the control group was given the normal teaching strategy eight lessons were implemented in two weeks. This research using the post-test and delay test which researchers des
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Didt, Daniel [Verfasser]. "Linkable Dynkin diagrams and quasi-isomorphisms for finite dimensional pointed Hopf algebras / eingereicht von Daniel Didt." 2002. http://d-nb.info/967079489/34.

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Opara, Adam. "Dekompozycyjne metody syntezy układów kombinacyjnych wykorzystujące binarne diagramy decyzyjne." Rozprawa doktorska, 2008. https://repolis.bg.polsl.pl/dlibra/docmetadata?showContent=true&id=5590.

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Opara, Adam. "Dekompozycyjne metody syntezy układów kombinacyjnych wykorzystujące binarne diagramy decyzyjne." Rozprawa doktorska, 2008. https://delibra.bg.polsl.pl/dlibra/docmetadata?showContent=true&id=5590.

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Marczyński, Grzegorz. "Specifications of Software Architectures using Diagrams of Constructions." Doctoral thesis, 2014.

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Formal methods promise the ultimate quality of software artifacts with mathematicalproof of their correctness. Algebraic specification is one of such methods, providingformal specifications of system components suitable for verification of correctnessof all individual steps in the software development process, and hence of the entiredevelopment process and of the resulting program.In this thesis we propose a new approach to algebraic specifications of software architectures,called diagrams of construction specifications. Constructions, as introducedhere, model parameterised modules, with depen
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Wesslen, Maria. "A Diagrammatic Description of Tensor Product Decompositions for SU(3)." Thesis, 2009. http://hdl.handle.net/1807/19110.

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The direct sum decomposition of tensor products for SU(3) has many applications in physics, and the problem has been studied extensively. This has resulted in many decomposition methods, each with its advantages and disadvantages. The description given here is geometric in nature and it describes both the constituents of the direct sum and their multiplicities. In addition to providing decompositions of specific tensor products, this approach is very well suited to studying tensor products as the parameters vary, and drawing general conclusions. After a description and proof of the method, sev
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