Search for dissertations about: "Kac-Moody algebras"
Found 5 swedish dissertations containing the words Kac-Moody algebras.
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1. On Vertex Operator Algebras of Affine Type at Admissible Levels
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
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2. Low-dimensional cohomology of current Lie algebras
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
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3. Arithmetic and Hyperbolic Structures in String Theory
Abstract : 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). READ MORE
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4. Disconjugate linear ordinary differential equations, flag varieties and classification of symplectic leaves in several Kac-Moody and Gelfand-Dikii algebras
Abstract : .... READ MORE
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5. Dualities, affine vertex operator algebras, and geometry of complex polynomials
Abstract : 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. READ MORE