Search for dissertations about: "operator algebras"
Showing result 1 - 5 of 15 swedish dissertations containing the words operator 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. 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
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3. Matrix ordered operator algebras. An operator space approach
Abstract : .... READ MORE
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4. Kähler-Poisson Algebras
Abstract : In this thesis, we introduce Kähler-Poisson algebras and study their basic properties. The motivation comes from differential geometry, where one can show that the Riemannian geometry of an almost Kähler manifold can be formulated in terms of the Poisson algebra of smooth functions on the manifold. READ MORE
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5. Embeddings of L^p-operator algebras : The preservation of L^p-Cartan pairs and applications
Abstract : .... READ MORE