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Introduction to the Representation Theory of Compact and Locally Compact Groups

Author: Alain Robert
Publisher: Cambridge : Cambridge University Press, 1983.
Series: London Mathematical Society lecture note series, no. 80.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Alain Robert
ISBN: 9780511661891 0511661894 9780521289757 0521289750 9781107366145 1107366143
OCLC Number: 776951135
Notes: Title from publishers bibliographic system (viewed 22 Dec 2011).
Description: 1 online resource (216 pages).
Contents: Part I. Representations of compact groups: 1. Compact groups and Haar measures; 2. Representations, general constructions; 3. A geometrical application; 4. Finite-dimensional representations of compact groups; 5. Decomposition of the regular representation; 6. Convolution, Plancherel formula & Fourier inversion; 7. Characters and group algebras; 8. Induced representations and Frobenius-Weil reciprocity; 9. Tannaka duality; 10. Representations of the rotation group; Part II. Representations of Locally Compact Groups: 11. Groups with few finite-dimensional representations; 12. Invariant measures on locally compact groups and homogeneous spaces; 13. Continuity properties of representations; 14. Representations of G and of L1(G); 15. Schur's lemma: unbounded version; 16. Discrete series of locally compact groups; 17. The discrete series of S12(R); 18. The principal series of S12(R); 19. Decomposition along a commutative subgroup; 20. Type I groups; 21. Getting near an abstract Plancherel formula; Epilogue.
Series Title: London Mathematical Society lecture note series, no. 80.
Responsibility: Alain Robert.

Abstract:

This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained.  Read more...

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