Representations of finite and Lie groups
By: Charles B. Thomas
Publisher: Imperial College Press; Distributed by World Scientific
Published: 2004
Place of publication: London; Singapore
Language: eng
Format: [electronic resource] /
Number of pages: 146
ISBN-13: 9781860945342
Subjects: Group theory; Group Theory; Finite groups; Topological groups; MATHEMATICS; Compact groups; Lie groups
Description: This book provides an introduction to representations of both finiteand compact groups. The proofs of the basic results are given for thefinite case, but are so phrased as to hold without change for compacttopological groups with an invariant integral replacing the sum overthe group elements as an averaging tool. Among the topics covered arethe relation between representations and characters, the constructionof irreducible representations, induced representations and Frobeniusreciprocity. Special emphasis is given to exterior powers, with thesymmetric group Sn as an illustrative example.
Notes: Bibliography (p. 143) and index.

Description based on print version record.
Table of contents: title: Representations of Finite and Lie Groups; Preface; Contents; 1. Introduction; 2. Basic Representation Theory; title: I; 3. Basic Representation Theory; title: II; 4. Induced Representations and their Characters; 5. Multilinear Algebra; 6. Representations of Compact Groups; 7. Lie Groups; 8. SL2(R); Appendix A Integration over Topological Groups; Appendix B Rings with Minimal Condition; Appendix C Modular Representations; Solutions and Hints for the Exercises; Bibliography; Index;