Search for dissertations about: "Tensor products"

Showing result 1 - 5 of 26 swedish dissertations containing the words Tensor products.

2. 1. Tensor Products on Category O and Kostant's Problem

   Author : Johan Kåhrström; Volodymyr Mazorchuk; Henning Haahr Andersen; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Semi-simple Lie algebras; Tensor products; Kostant s problem; Primitive quotients; MATHEMATICS; MATEMATIK;

   Abstract : This thesis consists of a summary and three papers, concerning some aspects of representation theory for complex finite dimensional semi-simple Lie algebras with focus on the BGG-category O.Paper I is motivated by the many useful properties of functors on category O given by tensoring with finite dimensional modules, such as projective functors and translation functors. READ MORE

4. 2. Algorithms in data mining using matrix and tensor methods

   Author : Berkant Savas; Lars Eldén; Lieven De Lathauwer; Linköpings universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Volume; Minimization criterion; Determinant; Rank deficient matrix; Reduced rank regression; System identification; Rank reduction; Volume minimization; General algorithm; Handwritten digit classification; Tensors; Higher order singular value decomposition; Tensor approximation; Least squares; Tucker model; Multilinear algebra; Notation; Contraction; Tensor matricization; Newton s method; Grassmann manifolds; Product manifolds; Quasi-Newton algorithms; BFGS and L-BFGS; Symmetric tensor approximation; Local intrinsic coordinates; Global embedded coordinates; ; Numerical analysis; Numerisk analys;

   Abstract : In many fields of science, engineering, and economics large amounts of data are stored and there is a need to analyze these data in order to extract information for various purposes. Data mining is a general concept involving different tools for performing this kind of analysis. READ MORE

5. 3. Tensor products and higher Auslander-Reiten theory

   Author : Andrea Pasquali; Martin Herschend; Peter Jørgensen; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES;

   Abstract : .... 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. Simulation of Electro-Optic Modulators by a Time-Domain Beam-Propagation Method

   Author : Elin Solberg; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; time-domain beam-propagation method; finite element method; tensor products; computational electromagnetics; photonics; electro-optic modulators; finite element method;

   Abstract : Electro-optic modulators (EOMs) are components which convert electric signals to optical ones. They are needed, e.g., at the transmitter end of fiber-optic communication systems and in time-stretch analog-to-digital converters. READ MORE