Search for dissertations about: "matrix representations"

Showing result 1 - 5 of 32 swedish dissertations containing the words matrix representations.

2. 1. Software tools for matrix canonical computations and web-based software library environments

   Author : Pedher Johansson; Bo Kågström; Erik. Elmroth; Alan Edelman; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Canonical structure; Jordan canonical form; controllability; StratiGraph; Matlab toolbox; Kronecker canonical form; matrix; matrix pencil; perturbation theory; closure hirerarchy; matrix stratification; control system; observability; Numerical analysis; Numerisk analys;

   Abstract : This dissertation addresses the development and use of novel software tools and environments for the computation and visualization of canonical information as well as stratification hierarchies for matrices and matrix pencils. The simplest standard shape to which a matrix pencil with a given set of eigenvalues can be reduced is called the Kronecker canonical form (KCF). READ MORE

4. 2. Exact Results in Five-Dimensional Gauge Theories : On Supersymmetry, Localization and Matrix Models

   Author : Anton Nedelin; Joseph Minahan; Ivan Kostov; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Supersymmetric localization; Matrix Models; Chern-Simons theory; Supersymmetric Field Theories; 2; 0 theories; Theoretical Physics; Teoretisk fysik;

   Abstract : Gauge theories are one of the corner stones of modern theoretical physics. They describe the nature of all fundamental interactions and have been applied in multiple branches of physics. The most challenging problem of gauge theories, which has not been solved yet, is their strong coupling dynamics. READ MORE

5. 3. Semigroups, multisemigroups and representations

   Author : Love Forsberg; Volodymyr Mazorchuk; Ernst Dieterich; Stuart Margolis; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; representation theory; semigroups; multisemigroups; category theory; 2-categories;

   Abstract : This thesis consists of four papers about the intersection between semigroup theory, category theory and representation theory. We say that a representation of a semigroup by a matrix semigroup is effective if it is injective and define the effective dimension of a semigroup S as the minimal n such that S has an effective representation by square matrices of size n. READ MORE

6. 4. Tensor Products of Highest Weight Representations and Skew-Symmetric Matrix Equations A+B+C=0

   Author : Ida Säfström; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Highest weight respresentation; tensor product decomposition; orthogonal algebra; skew-symmetric matrix; Horn’s conjecture; moment map; coadjoint orbit; flag manifold; general linear algebra; infinite dimensional unitary representation; general linear algebra;

   Abstract : The question of characterizing the eigenvalues for the sum of two Hermitian matrices, was solved in 1999, after almost a century of efforts. The saturation conjecture for GL_C(n) was proven by Knutson and Tao, filling in the last gap in Horn’s conjecture. READ MORE

7. 5. Statistical models of TF/DNA interaction

   Author : Aymeric Fouquier d'Herouel; Erik Aurell; Otto Berg; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; gene expression; regulation; transcription factor; binding motif; matrix representations; gibbs sampling; binding affinity; non-specific binding; Biological physics; Biologisk fysik;

   Abstract : Gene expression is regulated in response to metabolic necessities and environmental changes throughout the life of a cell. A major part of this regulation is governed at the level of transcription, deciding whether messengers to specific genes are produced or not. READ MORE