Search for dissertations about: "Lie algebras"

Showing result 11 - 15 of 42 swedish dissertations containing the words Lie algebras.

  2. 11. Computational algorithms for algebras

    Author : Samuel Lundqvist; Clas Löfwall; Ralf Fröberg; H. Michael Möller; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Hilbert function; Gröbner basis; zero-dimensional ideal; affine variety; projective variety; run-time complexity; Algebra and geometry; Algebra och geometri; Mathematics; matematik;

    Abstract : 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. READ MORE

  4. 12. 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

  5. 13. On Vertex Operator Algebras of Affine Type at Admissible Levels

    Author : Thomas Edlund; Matematik (naturvetenskapliga fakulteten); []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Vertex operator algebras; Kac-Moody algebras; Ore localization; Admissible levels; Singular vectors; Intertwining operators;

    Abstract : 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. READ MORE

  6. 14. Graded lie algebras in local algebra and rational homotopy

    Author : Rikard Bøgvad; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : This thesis consists of three papers, [A – C]The old conjecture that Poincaré-series of local noetherian rings are rational was disproved by Anick in 1979. Building upon his counter-example, as analyzed by Löfwall-Roos, I construct a Gorenstein ring with transcendental Poincaré-series; by a method of Roos this also gives a manifold whose loopspace has transcendental Poinaré-Betti series. READ MORE

  7. 15. Poincaré series and homotopy Lie algebras of monomial rings

    Author : Alexander Berglund; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; Algebra och geometri;

    Abstract : .... READ MORE