Representations of finite and Lie groups

• 作者: Thomas, C. B.
• 出版: London :Singapore : Imperial College Press ;Distributed by World Scientific 2004.
• 稽核項: 1 online resource (x, 146 pages) :illustrations.
• 標題: Group Theory. , Lie groups. , Group theory. , Finite groups. , Compact groups. , MATHEMATICS Group Theory. , Electronic books. , Topological groups. , MATHEMATICS
• ISBN: 1860944841 , 9781860944840
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• 附註: Bibliography (page 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.
• 摘要: 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.
• 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=130012
• 系統號: 005317172
• 資料類型: 電子書
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