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Visar resultat 1 - 5 av 6 avhandlingar som matchar ovanstående sökkriterier.
1. 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
2. Modules and Hopf structures for (twisted) generalized Weyl algebras
Sammanfattning : .... LÄS MER
3. Noncommutative Riemannian Geometry of Twisted Derivations
Sammanfattning : A twisted derivation is a generalized derivative satisfying a twisted version of the ordinary Leibniz rule for products. In particular, a (σ, τ )-derivation on an algebra A, is a derivation where Leibniz rule is twisted by two endomorphisms σ and τ on A. LÄS MER
4. Group Extensions, Gerbes and Twisted K-theory
Sammanfattning : This thesis reviews the theory of group extensions, gerbes and twisted K-theory. Application to anomalies in gauge theory is briefly discussed. The main results are presented in two appended scientific papers. LÄS MER
5. Abelian Extensions, Fractional Loop Group and Quantum Fields
Sammanfattning : This thesis deals with the theory of Lie group extensions, Lie conformal algebras and twisted K-theory, in the context of quantum physics. These structures allow for a mathematically precise description of certain aspects of interacting quantum field theories. LÄS MER