Search for dissertations about: "Lie-algebra"

Showing result 1 - 5 of 27 swedish dissertations containing the word Lie-algebra.

  1. 1. Low-dimensional cohomology of current Lie algebras

    Author : Pasha Zusmanovich; Rikard Bögvad; Dimitry Leites; Semyon Konstein; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; Current Lie algebra; modular Lie algebra; Kac-Moody algebra; cohomology; Algebra; geometry and mathematical analysis; Algebra; geometri och analys; matematik; Mathematics;

    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

  2. 2. Simple Modules over Lie Algebras

    Author : Jonathan Nilsson; Volodymyr Mazorchuk; Erhard Neher; Uppsala universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; Lie algebra; Representation; Simple module; Non-weight module; Classification; Construction; Mathematics; Matematik;

    Abstract : Simple modules are the elemental components in representation theory for Lie algebras, and numerous mathematicians have worked on their construction and classification over the last century. This thesis consists of an introduction together with four research articles on the subject of simple Lie algebra modules. READ MORE

  3. 3. Periodisations of contragredient Lie superalgebras and their presentations

    Author : Anna Larsson; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; Lie-algebra; Topologisk och besläktad algebra;

    Abstract : .... READ MORE

  4. 4. Strings, Branes and Symmetries

    Author : Anders Westerberg; Chalmers University of Technology; []
    Keywords : Lie-algebra cohomology; Reggeon vertices; extended objects; string theory; p -branes; current algebra; supersymmetry; sewing; pseudodifferential operators; D-branes;

    Abstract : Recent dramatic progress in the understanding of the non-perturbative structure of superstring theory shows that extended objects of various kinds, collectively referred to as p-branes, are an integral part of the theory. In this thesis, comprising an introductory text divided in two parts and seven appended research papers (Papers I-VII), we study various aspects of p-branes with relevance for superstring theory. READ MORE

  5. 5. Canoniical involutions and bosonic representations of three-dimensional lie colour algebras

    Author : Gunnar Sigurdsson; KTH; []
    Keywords : generalized lie algebra; grading group; commutation factor;

    Abstract : .... READ MORE