Custom cover image
Custom cover image

An introduction to group representation theory / edited by R. Keown

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Mathematics in science and engineering ; v. 116Publisher: New York : Academic Press, 2010Description: Online Ressource (xi, 331 pages) : diagramsISBN:
  • 0124042503
  • 9780124042506
  • 9780080956251
  • 0080956254
Subject(s): Additional physical formats: 0124042503 | Erscheint auch als: Introduction to group representation theory. Druck-Ausgabe. New York : Academic Press, 1975DDC classification:
  • 512.2
RVK: RVK: SK 260LOC classification:
  • QA171
Online resources: Additional physical formats: Online-Ausg. [S.l.] : HathiTrust Digital Library
Contents:
Front Cover; An Introduction to Group Representation Theory; Copyright Page; Contents; Preface; Chapter 1. Groups and Modules; 1. Fundamental Group Concepts; 2. Rings and Fields; 3. Abelian Groups, Modules, and Vector Spaces; 4. Linear Transformations on Vector Spaces; 5. Invariants of Linear Transformations; Problems; Chapter 2. The Representation Theory of Finite Groups; 1. Basic Concepts and Definitions in the Representation Theory of Finite Groups; 2. The Group Algebra KG of a Finite Group G; 3. The Structure of the Group Algebra KG; 4. The Simple Components of the Group Algebra KG
5. Introduction to Group CharactersProblems; Chapter 3. The Computation of Representations and Characters of Finite Groups; 1. Basic Concepts of Tensor Products of Group Representations; 2. Representations and Characters of a Group Induced from Those of a Subgroup; 3. The Group of Euclidean Motions of Three-Dimensional Euclidean Space and Some of Its Subgroups; 4. The Irreducible Representations of Certain Point and Space Groups; Problems; Chapter 4. The Representation Theory of Several Special Groups; 1. The Representation Theory of the Symmetric Group; 2. Modules over Symmetric Algebras
3. The Integral Representations of the General Linear Groups4. General Remarks about the Representation Theory of Certain Matrix Groups; Problems; References; Index;
Summary: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;<BR id="CRLF">methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and<BR id="CRLF">methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.<BR id="CRLF"><BR id="CRLF">As a result, the book represents a blend of new methods in general computational analysis, <BR id="CRLF">and specific, but also generic, techniques for study of systems theory ant its particular<BR id="CRLF">branches, such as optimal filtering and information compressionPPN: PPN: 878888233Package identifier: Produktsigel: BSZ-33-EBS-C1UB | BSZ-33-EBS-HSAA | GBV-33-EBS-MRI | GBV-33-EBS-ZHB | GBV-33-Freedom-BL | ZDB-1-ELC | ZDB-33-EBS | ZDB-33-ESD
No physical items for this record

Restrictions unspecified star

Online-Ausg. [S.l.] : HathiTrust Digital Library

Online-Ausg. [S.l.] : HathiTrust Digital Library. Online-Ausg. [S.l.] : HathiTrust Digital Library

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.

KIT – The University in the Helmholtz Association                         Home | Impressum | Datenschutz | Barrierefreiheit | KIT