Sökning: "highest weight representations"
Visar resultat 1 - 5 av 6 avhandlingar innehållade orden highest weight representations.
1. Irreducible Representations of Quantum Affine Algebras
Sammanfattning : We construct finite-dimensional representations of the quantum affine algebra associated to the simple finite-dimensional Lie algebra sl(n+1). The module structure is defined on the vector space tensor product of the fundamental representations of the quantum affine algebra. LÄS MER
2. 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
3. Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations
Sammanfattning : The main topic of the thesis is the connection between representation theory and special functions. We study matrix elements, coupling coefficient, and recoupling coefficients for the simplest Lie and quantum groups. LÄS MER
4. Tensor products of highest weight representations and skew-symmetric matrix equations A+B+C=0
Sammanfattning : .... LÄS MER
5. Exercising Mathematical Competence: Practising Representation Theory and Representing Mathematical Practice
Sammanfattning : This thesis assembles two papers in mathematics and two papers in mathematics education. In the mathematics part, representation theory is practised. Two Clebsch-Gordan type problems are addressed. LÄS MER