Sökning: "abstract algebra"

Visar resultat 11 - 15 av 21 avhandlingar innehållade orden abstract algebra.

  1. 11. Algebra in upper secondary mathematics : a study of a selection of textbooks used in the years 1960-2000 in Sweden

    Författare :Teresia Jakobsson-Åhl; Luleå tekniska universitet; []
    Nyckelord :SAMHÄLLSVETENSKAP; SOCIAL SCIENCES; Mathematics Education; Matematik och lärande;

    Sammanfattning : The research interest in this licentiate thesis is the development of school algebra in the Swedish upper-secondary school. To be more precise, the notion of school algebra, in the period 1960-2000, is described and analyzed through the study of mathematics textbooks and their revisions as a consequence of curricular reforms. LÄS MER

  3. 12. Some Resolvent Estimates in Harmonic Analysis

    Författare :Anders Dahlner; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; field theory; Number Theory; algebra; algebraic geometry; Talteori; group theory; Tauberian theorem. Quantitative inversion. Cesaro operator. Bishops property beta.; algebraisk geometri; fältteori; gruppteori;

    Sammanfattning : This thesis contains three papers about three different estimates of resolvents in harmonic analysis. These papers are: Paper 1. ``A Wiener tauberian theorem for weighted convolution algebras of zonal functions on the automorphism group of the unit disc'' Paper 2. ``Uniform spectral radius and compact Gelfand transform'' Paper 3. LÄS MER

  4. 13. Kantor Triple Systems

    Författare :Daniel Mondoc; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; gruppteori; fältteori; algebra; algebraic geometry; group theory; Talteori; field theory; Number Theory; Composition algebras; Jordan algebras; Kantor triple systems; Lie algebras; Jordan triple systems; algebraisk geometri;

    Sammanfattning : The main purpose of this thesis is to study real exceptional Kantor triple systems. In the first paper we first prove the known results in both the real and complex classical cases of K-simple Kantor triple systems. In the real classical case our approach gives somewhat simpler formulas. LÄS MER

  5. 14. Simplicial Complexes of Graphs

    Författare :Jakob Jonsson; Anders Björner; John Shareshian; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; simplicial complex; monotone graph property; discrete Morse theory; simplicial homology; homotopy type; connectivity degree; Cohen-Macaulay complex; Euler characteristic; decision tree; Algebra och geometri; Algebra and geometry; Algebra och geometri;

    Sammanfattning : Let G be a finite graph with vertex set V and edge set E. A graph complex on G is an abstract simplicial complex consisting of subsets of E. In particular, we may interpret such a complex as a family of subgraphs of G. LÄS MER

  7. 15. On Vertex Operator Algebras of Affine Type at Admissible Levels

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

    Sammanfattning : 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. LÄS MER