TY - BOOK
AU - Thomas,C.B.
TI - Representations of finite and Lie groups
SN - 1860945341 (electronic bk.)
AV - QA177 .T56 2004eb
U1 - 512.23 22
PY - 2004///
CY - London, Singapore
PB - Imperial College Press, Distributed by World Scientific
KW - Finite groups
KW - Group theory
KW - Compact groups
KW - Lie groups
KW - Topological groups
KW - MATHEMATICS
KW - Group Theory
KW - bisacsh
KW - Electronic books
N1 - Bibliography (p. 143) and index; 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
N2 - 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
UR - http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=130012
ER -