Sökning: "Kac-Moody algebras"

Hittade 5 avhandlingar innehållade orden Kac-Moody algebras.

  1. 1. On Vertex Operator Algebras of Affine Type at Admissible Levels

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

    Sammanfattning : 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. LÄS MER

  3. 2. 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

  4. 3. Arithmetic and Hyperbolic Structures in String Theory

    Författare :Daniel Persson; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Instantons; Kac-Moody algebras; Spacelike singularities; String Theory;

    Sammanfattning : This thesis consists of an introductory text followed by two separate parts which may be read independently of each other. In Part I we analyze certain hyperbolic structures arising when studying gravity in the vicinity of spacelike singularities (the BKL-limit). LÄS MER

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

    Författare :Boris Shapiro; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebra;

    Sammanfattning : .... LÄS MER

  7. 5. Dualities, affine vertex operator algebras, and geometry of complex polynomials

    Författare :Julius Borcea; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Sendov s conjecture; annihilating fields; relative vertex operators; twisted modules; vertex operator algebras; Affine Lie algebras; standard modules; geometry of polynomials.; Mathematics; Matematik;

    Sammanfattning : This thesis consists of two parts which deal with different subjects. In the first part we study certain aspects of the representation theory of affine Kac-Moody Lie algebras and related structures. LÄS MER