An edition of Representations of finite and Lie groups
(2004)
Representations of finite and Lie groups
by C. B. Thomas
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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
2004, Imperial College Press, Distributed by World Scientific
electronic resource /
in English
1860945341 9781860945342
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Book Details
Table of 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;
Edition Notes
Bibliography (p. 143) and index.
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| August 17, 2023 | Edited by ImportBot | import existing book |
| July 6, 2019 | Created by MARC Bot | import new book |