Search for dissertations about: "Kac-Moody algebra"
Showing result 1 - 5 of 7 swedish dissertations containing the words Kac-Moody algebra.
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1. Classification of classical twists of the standard Lie bialgebra structure on a loop algebra
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
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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. Disconjugate linear ordinary differential equations, flag varieties and classification of symplectic leaves in several Kac-Moody and Gelfand-Dikii algebras
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4. Whatever goes around comes around : modular invariance in string theory and conformal field theory
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5. 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