02837cam a2200469Ia 4500
ocm60410408
OCoLC
20140120112402.0
m o d
cr cnu|||unuuu
050520s2004 enka ob 001 0 eng d
N$T
eng
N$T
OCL
OCLCQ
YDXCP
OCLCQ
MERUC
OCLCQ
149477504
1860945341 (electronic bk.)
9781860945342 (electronic bk.)
(OCoLC)60410408
(OCoLC)149477504
QA177
.T56 2004eb
MAT
014000
bisacsh
512.23
22
ISIA
Thomas, C. B.
(Charles Benedict)
Representations of finite and Lie groups
[electronic resource] /
Charles B. Thomas.
London :
Imperial College Press ;
Singapore :
Distributed by World Scientific,
2004.
1 online resource (x, 146 p.) :
ill.
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.
Finite groups.
Group theory.
Compact groups.
Lie groups.
Topological groups.
MATHEMATICS
Group Theory.
bisacsh
Electronic books.
Print version:
Thomas, C.B. (Charles Benedict).
Representations of finite and Lie groups.
London : Imperial College Press ; Singapore : Distributed by World Scientific, 2004
1860944825
(OCoLC)57555679
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