Unitary representations and compactifications of symmetric spaces
Literaturangaben
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Boston u.a.
Birkhäuser
2005
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| Schriftenreihe: | Lie theory
2 Progress in mathematics 229 |
| Schlagworte: | |
| Online Zugang: | Inhaltsverzeichnis Inhaltstext |
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Tag hinzufügen | Zusammenfassung: | Literaturangaben Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, number theory, and mathematical physics. Three volumes, under the general title "Lie Theory," feature survey work and original results by well-established researchers in key areas of semisimple Lie theory. A wide spectrum of topics is treated, with emphasis on the interplay between representation theory and the geometry of adjoint orbits for Lie algebras over fields of possibly finite characteristic, as well as for infinite- dimensional Lie algebras. Also covered is unitary representation theory and branching laws for reductive subgroups, an active part of modern representation theory. Finally, there is a thorough discussion of compactifications of symmetric spaces, number theory via Selberg's trace formula, and harmonic analysis through a far- reaching generalization of Harish-Chandra's Plancherel formula for semisimple Lie groups. Ideal for graduate students and researchers, "Lie Theory" provides a broad, clearly focused examination of semisimple Lie groups and their integral importance to research in many branches of mathematics. "Lie Theory: Unitary Representations, Number Theory, and Compactifications" contains work by A. Borel and L. Ji, T. Kobayashi and J.-P. Labesse. "Lie Theory: Lie Algebras and Representations" contains work by J. C. Jantzen and K.-H. Neeb. "Lie Theory: Harmonic Analysis on Symmetric Spaces" features work by E. van den Ban, P. Delorme, and H. Schlichtkrull |
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| Beschreibung: | X, 207 S. graph. Darst. |
| ISBN: | 0817635262 0-8176-3526-2 9780817635268 978-0-8176-3526-8 |