Search for dissertations about: "Semi-simple Lie algebras"

Found 2 swedish dissertations containing the words Semi-simple Lie algebras.

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

    Author : Pasha Zusmanovich; Rikard Bögvad; Dimitry Leites; Semyon Konstein; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; 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

  4. 2. Tensor Products on Category O and Kostant's Problem

    Author : Johan Kåhrström; Volodymyr Mazorchuk; Henning Haahr Andersen; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Semi-simple Lie algebras; Tensor products; Kostant s problem; Primitive quotients; MATHEMATICS; MATEMATIK;

    Abstract : This thesis consists of a summary and three papers, concerning some aspects of representation theory for complex finite dimensional semi-simple Lie algebras with focus on the BGG-category O.Paper I is motivated by the many useful properties of functors on category O given by tensoring with finite dimensional modules, such as projective functors and translation functors. READ MORE