Sökning: "affine Lie algebras"
Visar resultat 1 - 5 av 7 avhandlingar innehållade orden affine Lie algebras.
1. Irreducible Representations of Quantum Affine Algebras
Sammanfattning : We construct finite-dimensional representations of the quantum affine algebra associated to the simple finite-dimensional Lie algebra sl(n+1). The module structure is defined on the vector space tensor product of the fundamental representations of the quantum affine algebra. LÄS MER
2. Dualities, affine vertex operator algebras, and geometry of complex polynomials
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
3. Low-dimensional cohomology of current Lie algebras
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. Computational algorithms for algebras
Sammanfattning : This thesis consists of six papers. In Paper I, we give an algorithm for merging sorted lists of monomials and together with a projection technique, we obtain a new complexity bound for the Buchberger-Möller algorithm and the FGLM algorithm. LÄS MER
5. On Vertex Operator Algebras of Affine Type at Admissible Levels
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