Search for dissertations about: "Algebra och geometri"

Showing result 1 - 5 of 130 swedish dissertations containing the words Algebra och geometri.

  1. 1. Waring-type problems for polynomials Algebra meets Geometry

    University dissertation from Stockholm : Department of Mathematics, Stockholm University

    Author : Alessandro Oneto; Stockholms universitet.; [2016]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; polynomials; Waring problems; Hilbert series; fat points; power ideals; secant varieties; matematik; Mathematics;

    Abstract : In the present thesis we analyze different types of additive decompositions of homogeneous polynomials. These problems are usually called Waring-type problems and their story go back to the mid-19th century and, recently, they received the attention of a large community of mathematicians and engineers due to several applications. READ MORE

  2. 2. On the Clebsch-Gordan problem for quiver representations

    University dissertation from Uppsala : Matematiska institutionen

    Author : Martin Herschend; Uppsala universitet.; [2008]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; quiver; quiver representation; tensor product; Clebsch-Gordan problem; representation ring; bialgebra; Galois covering; Algebra och geometri;

    Abstract : On the category of representations of a given quiver we define a tensor product point-wise and arrow-wise. The corresponding Clebsch-Gordan problem of how the tensor product of indecomposable representations decomposes into a direct sum of indecomposable representations is the topic of this thesis. READ MORE

  3. 3. Real and complex Monge-Ampère equations, statistical mechanics and canonical metrics

    University dissertation from Göteborg : Chalmers tekniska högskola

    Author : Jakob Hultgren; Göteborgs universitet.; Gothenburg University.; [2018]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Statistical Mechanics; Point Processes; Hessian manifolds; Kähler geometry; Optimal Transport; Canonical metrics; Complex Monge-Ampère equations; Real Monge-Ampère equations; Kähler-Einstein metrics;

    Abstract : Recent decades has seen a strong trend in complex geometry to study canonical metrics and the way they relate to geometric analysis, algebraic geometry and probability theory. This thesis consists of four papers each contributing to this field. The first paper sets up a probabilistic framework for real Monge-Ampère equations on tori. READ MORE

  4. 4. Admissible transformations and the group classification of Schrödinger equations

    University dissertation from Linköping : Linköping University Electronic Press

    Author : Celestin Kurujyibwami; Linköpings universitet.; Linköpings universitet.; [2017]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : We study admissible transformations and solve group classification problems for various classes of linear and nonlinear Schrödinger equations with an arbitrary number n of space variables.The aim of the thesis is twofold. READ MORE

  5. 5. N-complexes and Categorification

    University dissertation from Uppsala : Matematiska institutionen

    Author : Djalal Mirmohades; Uppsala universitet.; [2015]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Homological algebra; Category theory; Triangulated categories; K-theory; Hopfological algebra; Mathematics; Matematik;

    Abstract : This thesis consists of three papers about N-complexes and their uses in categorification. N-complexes are generalizations of chain complexes having a differential d satisfying dN = 0 rather than d2 = 0. Categorification is the process of finding a higher category analog of a given mathematical structure. READ MORE