Introduction to the Representation Theory of Compact and Locally Compact Groups: London Mathematical Society Lecture Note Series, cartea 80
Autor Alain Roberten Limba Engleză Paperback – 9 feb 1983
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Specificații
ISBN-13: 9780521289757
ISBN-10: 0521289750
Pagini: 216
Dimensiuni: 152 x 228 x 13 mm
Greutate: 0.32 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series
Locul publicării:Cambridge, United Kingdom
ISBN-10: 0521289750
Pagini: 216
Dimensiuni: 152 x 228 x 13 mm
Greutate: 0.32 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series
Locul publicării:Cambridge, United Kingdom
Cuprins
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.
Descriere
This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained.