Introduction to the Representation Theory of Compact and Locally Compact Groups

Häftad, Engelska, 1983

Del 80 i serien London Mathematical Society Lecture Note Series

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Beskrivning

Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.

Produktinformation

Utgivningsdatum:1983-02-10
Mått:152 x 228 x 13 mm
Vikt:330 g
Format:Häftad
Språk:Engelska
Serie:London Mathematical Society Lecture Note Series
Antal sidor:216
Förlag:Cambridge University Press
ISBN:9780521289757

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Innehållsförteckning

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.