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Representations of finite and Lie groups [electronic resource] / Charles B. Thomas.

By: Thomas, C. B. (Charles Benedict).
Material type: TextTextPublisher: London : Singapore : Imperial College Press ; Distributed by World Scientific, 2004Description: 1 online resource (x, 146 p.) : ill.ISBN: 1860945341 (electronic bk.); 9781860945342 (electronic bk.).Subject(s): Finite groups | Group theory | Compact groups | Lie groups | Topological groups | MATHEMATICS -- Group TheoryGenre/Form: Electronic books.Additional physical formats: Print version:: Representations of finite and Lie groups.DDC classification: 512.23 Online resources: EBSCOhost
Contents:
Representations of Finite and Lie Groups; Preface; Contents; 1. Introduction; 2. Basic Representation Theory -- I; 3. Basic Representation Theory -- 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;
Summary: 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.
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Bibliography (p. 143) and index.

Description based on print version record.

Representations of Finite and Lie Groups; Preface; Contents; 1. Introduction; 2. Basic Representation Theory -- I; 3. Basic Representation Theory -- 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;

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.

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Representations of finite and lie groups by Thomas Charles B
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