Sökning: "Hopf algebras"

Hittade 5 avhandlingar innehållade orden Hopf algebras.

  1. 1. 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

  3. 2. Hopf and Frobenius algebras in conformal field theory

    Författare :Carl Stigner; Jürgen Fuchs; Jens Fjelstad; Ingo Runkel; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; conformal field theory; category theory; Hopf algebra; Frobenius algebra; coends; mapping class group; defect lines; factorization constraints; Physics; Fysik;

    Sammanfattning : There are several reasons to be interested in conformal field theories in two dimensions. Apart from arising in various physical applications, ranging from statistical mechanics to string theory, conformal field theory is a class of quantum field theories that is interesting on its own. First of all there is a large amount of symmetries. LÄS MER

  4. 3. Modules and Hopf structures for (twisted) generalized Weyl algebras

    Författare :Jonas T. Hartwig; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Generalized Weyl algebra; weight module; guantum Weyl algebra; ambiskew polynomial ring; Hopf algebra; quantum group; guantum Weyl algebra;

    Sammanfattning : .... LÄS MER

  5. 4. Generalized Weyl algebras and elliptic quantum groups

    Författare :Jonas T. Hartwig; Göteborgs universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Generalized Weyl algebra; weight module; quantum Weyl algebra; ambiskew polynomial ring; unitarizable module; Hopf algebra; dynamical quantum group; Hopf algebra;

    Sammanfattning : .... LÄS MER

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

    Författare :Pasha Zusmanovich; Rikard Bögvad; Dimitry Leites; Semyon Konstein; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 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