Search for dissertations about: "ALGEBRAS"

Showing result 1 - 5 of 135 swedish dissertations containing the word ALGEBRAS.

  2. 1. On Stratified Algebras and Lie Superalgebras

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

    Abstract : 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. READ MORE

  4. 2. Irreducible Representations of Quantum Affine Algebras

    Author : Jesper Thorén; Matematik (naturvetenskapliga fakulteten); []
    Keywords : 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;

    Abstract : 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. READ MORE

  5. 3. Kähler-Poisson Algebras

    Author : Ahmed Al-Shujary; Joakim Arnlind; Milagros Izquierdo; Johan Öinert; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : The focus of this thesis is to introduce the concept of Kähler-Poisson algebras as analogues of algebras of smooth functions on Kähler manifolds. We first give here a review of the geometry of Kähler manifolds and Lie-Rinehart algebras. After that we give the definition and basic properties of Kähler-Poisson algebras. READ MORE

  6. 4. Kähler-Poisson Algebras

    Author : Ahmed Al-Shujary; Joakim Arnlind; Milagros Izquierdo; Sergei Silvestrov; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : In this thesis, we introduce Kähler-Poisson algebras and study their basic properties. The motivation comes from differential geometry, where one can show that the Riemannian geometry of an almost Kähler manifold can be formulated in terms of the Poisson algebra of smooth functions on the manifold. READ MORE

  7. 5. On hypergraph algebras

    Author : Eric Emtander; Jörgen Backelin; Ralf Fröberg; Jakob Jonsson; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

    Abstract : .... READ MORE