Representations of Finite and Compact Groups

Simon, Barry

doi:10.1090/gsm/010

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Representations of Finite and Compact Groups

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Barry Simon, California Institute of Technology, Pasadena, CA

Publication: Graduate Studies in Mathematics
Publication Year: 1996; Volume 10
ISBNs: 978-0-8218-0453-7 (print); 978-1-4704-1142-8 (online)
DOI: https://doi.org/10.1090/gsm/010
MathSciNet review: MR1363490
MSC: Primary 22-01; Secondary 20C05, 20C15, 22E15

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Chapter I. Groups and counting principles
Chapter II. Fundamentals of group representations
Chapter III. Abstract theory of representations of finite groups
Chapter IV. Representations of concrete finite groups. I: Abelian and Clifford groups
Chapter V. Representations of concrete finite groups. II: Semidirect products and induced representations
Chapter VI. Representations of concrete finite groups. III: The symmetric groups
Chapter VII. Compact groups
Chapter VIII. The structure of compact semisimple groups
Chapter IX. The representations of compact semisimple groups
Appendix A. Multilinear algebra
Appendix B. The analysis of self-adjoint Hilbert-Schmidt operators

Representations of Finite and Compact Groups

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