
Linear Representations of Groups
Herausgegeben von Amann, Herbert / Kraft, Hanspeter. Aus d. Russ. v. Iacob, Andrei
E.B. Vinberg(Editor)
Birkhäuser Verlag GmbH
1st Edition
Published on 1. June 1989
Book
Hardback
146 pages
978-3-7643-2288-5 (ISBN)
Description
This textbook contains a comprehensive and detailed exposition of the fundamentals of the representation theory of groups, especially of finite groups and compact groups. The exposition is based on the decomposition of the two-sided regular representation. This enables the author to give not only an abstract description of the representations but also their realizations in function spaces, which is important for physical applications. As an example, the theory of Laplace spherical functions is treated. Some basic ideas of the representation theory of Lie groups are also given, as well as all the representations of the groups SU2 and SO3. The book contains numerous examples and exercises, some with solutions.
More details
Series
Language
English
Place of publication
Basel
Switzerland
Target group
College/higher education
Research
Illustrations
biography
Dimensions
Height: 240 mm
Width: 170 mm
Thickness: 11 mm
Weight
1150 gr
ISBN-13
978-3-7643-2288-5 (9783764322885)
Schweitzer Classification
Other editions
Additional editions

Book
12/2010
Birkhäuser
€74.89
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Content
Basic Notions.- General Properties of Representations.- Invariant Subspaces.- Complete Reducibility of Representations of Compact Groups.- Basic Operations on Representations.- Properties of Irreducible Complex Representations.- Representations of Finite Groups.- Decomposition of the Regular Representation.- Orthogonality Relations.- Representations of Finite Groups.- The Groups SU2 and S03.- Matrix Elements of Compact Groups.- The Laplace Spherical Functions.- Representations of Lie Groups.- General Properties of Homomorphisms and Representations of Lie Groups.- Representations of SU2 and S03.- Appendices.- References.