Sökning: "matrix representations"
Visar resultat 1 - 5 av 34 avhandlingar innehållade orden matrix representations.
1. Software tools for matrix canonical computations and web-based software library environments
Sammanfattning : 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). LÄS MER
2. Exact Results in Five-Dimensional Gauge Theories : On Supersymmetry, Localization and Matrix Models
Sammanfattning : 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. LÄS MER
3. Semigroups, multisemigroups and representations
Sammanfattning : 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. LÄS MER
4. Tensor Products of Highest Weight Representations and Skew-Symmetric Matrix Equations A+B+C=0
Sammanfattning : 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. LÄS MER
5. Statistical models of TF/DNA interaction
Sammanfattning : 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. LÄS MER