Sökning: "Lie algebras"

Visar resultat 1 - 5 av 37 avhandlingar innehållade orden Lie algebras.

  1. 1. On Stratified Algebras and Lie Superalgebras

    Författare :Anders Frisk; Volodymyr Mazorchuk; Karl-Heinz Fieseler; Steffen Koenig; Uppsala universitet; []
    Nyckelord :Algebra and geometry; Stratified algebras; Lie Superalgebras; Properly stratified algebras; Quasi-hereditary algebras; the queer Lie superalgebra; Kostant s Theorem; Algebra och geometri;

    Sammanfattning : This thesis, consisting of three papers and a summary, studies properties of stratified algebras and representations of Lie superalgebras.In Paper I we give a characterization when the Ringel dual of an SSS-algebra is properly stratified. LÄS MER

  2. 2. Quasi-Lie Algebras and Quasi-Deformations. Algebraic Structures Associated with Twisted Derivations

    Författare :Daniel Larsson; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Talteori; fältteori; algebraisk geometri; algebra; gruppteori; Lie Algebras; Quasi-Deformations; Number Theory; field theory; algebraic geometry; group theory; Quasi-Lie Algebras;

    Sammanfattning : This thesis introduces a new deformation scheme for Lie algebras, which we refer to as ?quasi-deformations? to clearly distinguish it from the classical Grothendieck-Schlessinger and Gers-tenhaber deformation schemes. The main difference is that quasi-deformations are not in gene-ral category-preserving, i.e. LÄS MER

  3. 3. Simple Modules over Lie Algebras

    Författare :Jonathan Nilsson; Volodymyr Mazorchuk; Erhard Neher; Uppsala universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; Lie algebra; Representation; Simple module; Non-weight module; Classification; Construction; Mathematics; Matematik;

    Sammanfattning : Simple modules are the elemental components in representation theory for Lie algebras, and numerous mathematicians have worked on their construction and classification over the last century. This thesis consists of an introduction together with four research articles on the subject of simple Lie algebra modules. LÄS MER

  4. 4. Irreducible Representations of Quantum Affine Algebras

    Författare :Jesper Thorén; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Number Theory; Matematik; Mathematics; quantum evaluation modules; highest weight representations; quantum Yang-Baxter equation; quantum affine algebras; quantum groups; comultiplication; Hopf algebras; affine Lie algebras; field theory; algebraic geometry; algebra; group theory; Talteori; fältteori; algebraisk geometri; gruppteori;

    Sammanfattning : We construct finite-dimensional representations of the quantum affine algebra associated to the simple finite-dimensional Lie algebra sl(n+1). The module structure is defined on the vector space tensor product of the fundamental representations of the quantum affine algebra. LÄS MER

  5. 5. Low-dimensional cohomology of current Lie algebras

    Författare :Pasha Zusmanovich; Rikard Bögvad; Dimitry Leites; Semyon Konstein; Stockholms universitet; []
    Nyckelord :NATURAL SCIENCES; NATURVETENSKAP; Current Lie algebra; modular Lie algebra; Kac-Moody algebra; cohomology; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; matematik; Mathematics;

    Sammanfattning : We deal with low-dimensional homology and cohomology of current Lie algebras, i.e., Lie algebras which are tensor products of a Lie algebra L and an associative commutative algebra A. LÄS MER