Articoli correlati a LMS: 80 Representation Theory

9780521289757: LMS: 80 Representation Theory
Brossura
ISBN 10: 0521289750 ISBN 13: 9780521289757
Casa editrice: Cambridge University Press, 2008

Sinossi

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

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Descrizione del libro

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.

Contenuti

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
Cambridge University Press
Data di pubblicazione
2008
Lingua
Inglese
ISBN 10 
0521289750
ISBN 13 
9780521289757
Rilegatura
Copertina flessibile
Numero di pagine
216
Contatto del produttore
non disponibile
Persona responsabile
GPSR Kontakt
gpsr@libri.de

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