Relevant bibliographies by topics / Complex semisimple Lie algebra / Dissertations / Theses
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Dissertations / Theses on the topic 'Complex semisimple Lie algebra'

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Published: 4 June 2021
Last updated: 1 February 2022

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1

Sawyer, Cameron C. (Cameron Cunningham). "The Cohomology for the Nil Radical of a Complex Semisimple Lie Algebra." Thesis, University of North Texas, 1994. https://digital.library.unt.edu/ark:/67531/metadc501116/.

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Let g be a complex semisimple Lie algebra, Vλ an irreducible g-module with high weight λ, pI a standard parabolic subalgebra of g with Levi factor £I and nil radical nI, and H*(nI, Vλ) the cohomology group of Λn'I ⊗Vλ. We describe the decomposition of H*(nI, Vλ) into irreducible £1-modules.
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2

Tsumura, Hirofumi, and Kohji Matsumoto. "On Witten multiple zeta-functions associated with semisimple Lie algebras I." Annales de L'Institut Fourier, 2006. http://hdl.handle.net/2237/20336.

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3

Gruson, Caroline. "Sur les super groupes de Lie." Paris 7, 1993. http://www.theses.fr/1993PA077056.

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La première partie est une adaptation au cadre des super groupes de Lie du théorème du à Cartier qui assure que les groupes formels sont lisses en caractérisque zéro. La seconde partie donne une description des super groupes de Lie dits vraiment classiques comme groupes d'automorphismes des super algèbres semi-simples à involution, selon une méthode de Weil. La troisième partie est consacrée à l'étude de l'idéal définissant l'orbite d'un vecteur de plus haut poids d'une représentation simple de dimension finie d'une super algèbre de Lie basique classique complexe.
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4

To, Kai-ming Simon, and 杜啟明. "On some aspects of a Poisson structure on a complex semisimple Lie group." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2011. http://hub.hku.hk/bib/B45700333.

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5

Morigi, Davide. "A combinatorial description of the good Z-gradings of the symplectic Lie algebra." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/17108/.

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In this thesis we investigate the concept of good Z-grading of a finite dimensional semisimple Lie algebra over an algebraically closed field of characteristic 0. Throughout the thesis we make use of the theorem of Jacobson Morozov, a fundamental result in the Lie theory. First of all we give a fundamental example of good grading, the Dynkin one. Afterwards we study more in general some properties of the good Z-gradings of a Lie algebra. Finally we give a complete description of the good Z-gradings of the symplectic Lie algebra.
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6

Caprace, Pierre-Emmanuel. ""Abstract" homomorphisms of split Kac-Moody groups." Doctoral thesis, Universite Libre de Bruxelles, 2005. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210962.

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Cette thèse est consacrée à une classe de groupes, appelés groupes de Kac-Moody, qui généralise de façon naturelle les groupes de Lie semi-simples, ou plus précisément, les groupes algébriques réductifs, dans un contexte infini-dimensionnel. On s'intéresse plus particulièrement au problème d'isomorphismes pour ces groupes, en vue d'obtenir un analogue infini-dimensionnel de la célèbre théorie des homomorphismes 'abstraits' de groupes algébriques simples, due à Armand Borel et Jacques Tits.<p><p>Le problème d'isomorphismes qu'on étudie s'avère être un cas particulier d'un problème plus général,
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7

Matías, Gutierrez Gonzalo Emanuel. "Estudo de nova fórmula de caracteres para representações de Álgebra de Lie semissimples." Universidade Federal de São Carlos, 2015. https://repositorio.ufscar.br/handle/ufscar/7299.

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Submitted by Alison Vanceto (alison-vanceto@hotmail.com) on 2016-09-21T11:54:01Z No. of bitstreams: 1 DissGEMG.pdf: 900713 bytes, checksum: 6350d5da67ccdaab208cf7961f1161f6 (MD5)<br>Approved for entry into archive by Ronildo Prado (ronisp@ufscar.br) on 2016-09-21T12:02:05Z (GMT) No. of bitstreams: 1 DissGEMG.pdf: 900713 bytes, checksum: 6350d5da67ccdaab208cf7961f1161f6 (MD5)<br>Approved for entry into archive by Ronildo Prado (ronisp@ufscar.br) on 2016-09-21T12:02:16Z (GMT) No. of bitstreams: 1 DissGEMG.pdf: 900713 bytes, checksum: 6350d5da67ccdaab208cf7961f1161f6 (MD5)<br>Made available in
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8

Shaddad, Amna. "The classification and dynamics of the momentum polytopes of the SU(3) action on points in the complex projective plane with an application to point vortices." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/the-classification-and-dynamics-of-the-momentum-polytopes-of-the-su3-action-on-points-in-the-complex-projective-plane-with-an-application-to-point-vortices(456a7a49-ef1b-4660-a8e6-8d4cd0791d9d).html.

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We have fully classified the momentum polytopes of the SU(3) action on CP(2)xCP(2) and CP(2)xCP(2) xCP(2), both actions with weighted symplectic forms, and their corresponding transition momentum polytopes. For CP(2)xCP(2) the momentum polytopes are distinct line segments. The action on CP(2)xCP(2) xCP(2), has 9 different momentum polytopes. The vertices of the momentum polytopes of the SU(3) action on CP(2)xCP(2) xCP(2), fall into two categories: definite and indefinite vertices. The reduced space corresponding to momentum map image values at definite vertices is isomorphic to the 2-sphere. W
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9

Bhattacharya, Subhabrata. "Recognition of Complex Events in Open-source Web-scale Videos: Features, Intermediate Representations and their Temporal Interactions." Doctoral diss., University of Central Florida, 2013. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/5768.

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Recognition of complex events in consumer uploaded Internet videos, captured under real-world settings, has emerged as a challenging area of research across both computer vision and multimedia community. In this dissertation, we present a systematic decomposition of complex events into hierarchical components and make an in-depth analysis of how existing research are being used to cater to various levels of this hierarchy and identify three key stages where we make novel contributions, keeping complex events in focus. These are listed as follows: (a) Extraction of novel semi-global features --
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10

Bäcklund, Pierre. "Studies on boundary values of eigenfunctions on spaces of constant negative curvature." Doctoral thesis, Uppsala University, Department of Mathematics, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-8920.

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<p>This thesis consists of two papers on the spectral geometry of locally symmetric spaces of Riemannian and Lorentzian signature. Both works are concerned with the idea of relating analysis on such spaces to structures on their boundaries.</p><p>The first paper is motivated by a conjecture of Patterson on the Selberg zeta function of Kleinian groups. We consider geometrically finite hyperbolic cylinders with non-compact Riemann surfaces of finite area as cross sections. For these cylinders, we present a detailed investigation of the Bunke-Olbrich extension operator under the assumption that t
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11

Kleinsteuber, Martin. "Jacobi-type methods on semisimple Lie algebras : a Lie algebraic approach to numerical linear algebra." Doctoral thesis, 2005. https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-16454.

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Es wird eine Lie-algebraische Verallgemeinerung sowohl des klassischen als auch des Sortier-Jacobi-Verfahrens für das symmetrische Eigenwertproblem behandelt. Der koordinatenfreie Zugang ermöglicht durch eine neue Betrachtungsweise die Vereinheitlichung strukturierter Eigen- und Singulärwertprobleme, darunter bis dato noch nicht betrachtete Fälle. Für beide Verfahren wird lokal quadratische Konvergenz, sowohl für den regulären als auch für den irregulären Fall, gezeigt. Die Analyse und Verallgemeinerung der sog. speziellen Sweeps für das symmetrische Eigenwertproblem führt zu neuen Sweep-Metho
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12

Brooke, David John. "Resolving Multiplicities in the Tensor Product of Irreducible Representations of Semisimple Lie Algebras." Thesis, 2008. http://hdl.handle.net/1807/16778.

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When the tensor product of two irreducible representations contains multiple copies of some of its irreducible constituents, there is a problem of choosing specific copies: resolving the multiplicity. This is typically accomplished by some ad hoc method chosen primarily for convenience in labelling and calculations. This thesis addresses the possibility of making choices according to other criteria. One possible criterion is to choose copies for which the Clebsch-Gordan coefficients have a simple form. A method fulfilling this is introduced for the tensor product of three irreps of $su(2)
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13

Kleinsteuber, Martin [Verfasser]. "Jacobi-type methods on semisimple Lie algebras : a Lie algebraic approach to numerical linear algebra / vorgelegt von Martin Kleinsteuber." 2006. http://d-nb.info/979448603/34.

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14

Kumar, Manish. "Analytic and Entire Vectors for Representations of Lie Groups." Thesis, 2016. http://etd.iisc.ernet.in/handle/2005/2937.

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We start with the recollection of basic results about differential manifolds and Lie groups. We also recall some preliminary terminologies in Lie algebra. Then we define the Lie algebra corresponding to a Lie group. In the next section, we define a strongly continuous representation of a Lie group on a Banach space. We further define the smooth, analytic and entire vectors for a given representation. Then, we move on to develop some necessary and sufficient criteria to characterize smooth, analytic and entire vectors. We, in particular, take into account of some specific representations of Lie
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15

Simondi, Sebastián Ricardo. "Restrición de representaciones de cuadrado integrable /." Doctoral thesis, 2007. http://hdl.handle.net/11086/102.

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Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física, 2007.<br>Sea G un grupo de Lie simple de tipo no compacto, conexo y con centro finito. Fijemos un subgrupo compacto maximal K de G. Sea p una representación unitaria e irreducible de G y sea H un subgrupo reductivo cerrado de G. En este trabajo mostramos que si k = Lie(K) es simple, entonces la representación p restricta a H no es discretamente descomponible. Para ello utilizamos un criterio introducido por Kobayashi en [Ko]. Por otra parte si el subgrupo compacto maximal K de G no es si
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16

Will, Cynthia Eugenia. "Continuación meromorfa de la resolvente del Laplaciano en espacios simétricos de curvatura negativa." Doctoral thesis, 2001. http://hdl.handle.net/11086/83.

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Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física, 2001.<br>En este trabajo estudiamos la continuación meromórfa del núcleo de la resolvente del Laplaciano en varias situaciones. En primer lugar se considera el caso de los espacios simétricos de curvatura negativa G/K y el Laplaciano actuando en funciones infinitamente diferenciables, biinvariantes por K. En este caso se prueba que esta continuación tiene polos simples localizados en un subconjunto de _:frac12;, en una parametrización adecuada. El operador residuo asociado a cada uno de
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