Search for dissertations about: "twisted modules"

Showing result 1 - 5 of 6 swedish dissertations containing the words twisted modules.

  2. 1. Dualities, affine vertex operator algebras, and geometry of complex polynomials

    Author : Julius Borcea; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Sendov s conjecture; annihilating fields; relative vertex operators; twisted modules; vertex operator algebras; Affine Lie algebras; standard modules; geometry of polynomials.; Mathematics; Matematik;

    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

  4. 2. Modules and Hopf structures for (twisted) generalized Weyl algebras

    Author : Jonas T. Hartwig; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Generalized Weyl algebra; weight module; guantum Weyl algebra; ambiskew polynomial ring; Hopf algebra; quantum group; guantum Weyl algebra;

    Abstract : .... READ MORE

  5. 3. Noncommutative Riemannian Geometry of Twisted Derivations

    Author : Kwalombota Ilwale; Joakim Arnlind; Sergei Silvestrov; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : 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. READ MORE

  6. 4. Group Extensions, Gerbes and Twisted K-theory

    Author : Pedram Hekmati; Jouko Mickelsson; Jürgen Fuchs; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematical physics; Matematisk fysik;

    Abstract : 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. READ MORE

  7. 5. Abelian Extensions, Fractional Loop Group and Quantum Fields

    Author : Pedram Hekmati; Jouko Mickelsson; Christoph Schweigert; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Lie group extensions; Lie conformal algebras; gerbes; twisted K-theory; renormalization; anomalies; D-brane charges; variational complex; Mathematical physics; Matematisk fysik;

    Abstract : 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. READ MORE