Search for dissertations about: "MATHEMATICS Algebra"

Showing result 1 - 5 of 233 swedish dissertations containing the words MATHEMATICS Algebra.

  1. 1. Vector-valued Eisenstein series of congruence types and their products

    University dissertation from ; Chalmers tekniska högskola; Gothenburg

    Author : Jiacheng Xia; [2019]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Hecke operator; Fourier expansion of modular forms; congruence type; products of Eisenstein series; vector-valued modular forms;

    Abstract : Historically, Kohnen and Zagier connected modular forms with period polynomials, and as a consequence of this association concluded that the products of at most two Eisenstein series span all spaces of classical modular forms of level 1. Later Borisov and Gunnells among other authors extended the result to higher levels. READ MORE

  2. 2. Generalized Vandermonde matrices and determinants in electromagnetic compatibility

    University dissertation from Västerås : Mälardalen University

    Author : Karl Lundengård; Mälardalens högskola.; [2017]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics Applied Mathematics; matematik tillämpad matematik;

    Abstract : Matrices whose rows (or columns) consists of monomials of sequential powers are called Vandermonde matrices and can be used to describe several useful concepts and have properties that can be helpful for solving many kinds of problems. In this thesis we will discuss this matrix and some of its properties as well as a generalization of it and how it can be applied to curve fitting discharge current for the purpose of ensuring electromagnetic compatibility. READ MORE

  3. 3. 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

  4. 4. Simple Modules over Lie Algebras

    University dissertation from Uppsala : Department of Mathematics

    Author : Jonathan Nilsson; Uppsala universitet.; [2016]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Lie algebra; Representation; Simple module; Non-weight module; Classification; Construction; Mathematics; Matematik;

    Abstract : Simple modules are the elemental components in representation theory for Lie algebras, and numerous mathematicians have worked on their construction and classification over the last century. This thesis consists of an introduction together with four research articles on the subject of simple Lie algebra modules. READ MORE

  5. 5. Around power ideals From Fröberg's conjecture to zonotopal algebra

    University dissertation from Stockholm : Department of Mathematics, Stockholm University

    Author : Gleb Nenashev; Stockholms universitet.; [2018]
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; matematik; Mathematics;

    Abstract : In this thesis we study power algebras, which are quotient of polynomial rings by power ideals. We will study Hilbert series of such ideals and their other properties. We consider two important special cases, namely, zonotopal ideals and generic ideals. Such ideals have a lot combinatorial properties. READ MORE