Representations of finite and Lie groups
Thomas, C. B. (Charles Benedict)
creator
text
bibliography
Electronic books.
enk
London
Singapore
Imperial College Press
Distributed by World Scientific
2004
monographic
eng
1 online resource (x, 146 p.) : ill.
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.
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;
Charles B. Thomas.
Bibliography (p. 143) and index.
Finite groups
Group theory
Compact groups
Lie groups
Topological groups
MATHEMATICS
Group Theory
QA177 .T56 2004eb
512.23
Representations of finite and Lie groups
Thomas, C.B. (Charles Benedict).
London : Imperial College Press ; Singapore : Distributed by World Scientific, 2004
(OCoLC)57555679
1860945341 (electronic bk.)
9781860945342 (electronic bk.)
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