Search for dissertations about: "Kac-Moody algebra"

Showing result 1 - 5 of 7 swedish dissertations containing the words Kac-Moody algebra.

  2. 1. Classification of classical twists of the standard Lie bialgebra structure on a loop algebra

    Author : Stepan Maximov; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Lie bialgebra; classical twist; loop algebra; Yang-Baxter equation; Manin triple; geometric r-matrix.; Belavin-Drinfeld quadruple;

    Abstract : This licentiate thesis is based on the work "Classification of classical twists of the standard Lie bialgebra structure on a loop algebra" by R. Abedin and the author of this thesis. The standard Lie bialgebra structure on an affine Kac-Moody algebra induces a Lie bialgebra structure on the underlying loop algebra and its parabolic subalgebras. READ MORE

  4. 2. Low-dimensional cohomology of current Lie algebras

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

    Abstract : 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. READ MORE

  5. 3. Disconjugate linear ordinary differential equations, flag varieties and classification of symplectic leaves in several Kac-Moody and Gelfand-Dikii algebras

    Author : Boris Shapiro; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebra;

    Abstract : .... READ MORE

  6. 4. Whatever goes around comes around : modular invariance in string theory and conformal field theory

    Author : Patrick D. Roberts; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; conformal field theory; Kac-Moody algebra; covariant lattice; modular invariance; string theory;

    Abstract : .... READ MORE

  7. 5. On Vertex Operator Algebras of Affine Type at Admissible Levels

    Author : Thomas Edlund; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Vertex operator algebras; Kac-Moody algebras; Ore localization; Admissible levels; Singular vectors; Intertwining operators;

    Abstract : The main purpose of this thesis is the study of the structure and representation theory of simple vertex operator algebras (VOAs) of affine type at admissible levels. To do this, it is crucial to obtain knowledge of the singular vectors which generate the maximal submodules, with respect to which these VOAs appear as irreducible quotients, and therefore a substantial part of the text is devoted to this matter. READ MORE