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Visar resultat 1 - 5 av 7 avhandlingar som matchar ovanstående sökkriterier.

  1. 1. Morphisms of real calculi from a geometric and algebraic perspective

    Författare :Axel Tiger Norkvist; Joakim Arnlind; Stefan Wagner; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; noncommutative geometry; embeddings; matrix algebras; real calculi; morphisms; free module; projective module;

    Sammanfattning : Noncommutative geometry has over the past four of decades grown into a rich field of study. Novel ideas and concepts are rapidly being developed, and a notable application of the theory outside of pure mathematics is quantum theory. LÄS MER

  3. 2. Stratified algebras and classification of tilting modules

    Författare :Elin Persson Westin; Volodymyr Mazorchuk; Aslak Buan; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Representation theory; Generalized tilting module; Exceptional sequence; Quasi-hereditary algebra; Standardly stratified algebra; Essential order; Category O; S-subcategory; Projective dimension; Finitistic dimension; Mathematics; Matematik;

    Sammanfattning : This thesis contains three papers in representation theory of algebras. It mainly studies two types of algebras; quasi-hereditary algebras and standardly stratified algebras. LÄS MER

  4. 3. Hilbert schemes and Rees algebras

    Författare :Gustav Sædén Ståhl; David Rydh; Karen Smith; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : The topic of this thesis is algebraic geometry, which is the mathematical subject that connects polynomial equations with geometric objects. Modern algebraic geometry has extended this framework by replacing polynomials with elements from a general commutative ring, and studies the geometry of abstract algebra. LÄS MER

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

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

    Sammanfattning : 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. LÄS MER

  7. 5. Contributions to certain problems in algebraic topology

    Författare :Juan M. Alonso; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebraisk topologi;

    Sammanfattning : We consider two problems. The first one is to determine when a fibration is also a (homotopy) cofibration. We use a classic result of T. Ganea to give a complete algebraic solution. LÄS MER