Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Autore: |
Kobayashi Toshiyuki <1962->
|
| Titolo: |
Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| ©1992 | |
| Descrizione fisica: | 1 online resource (117 p.) |
| Disciplina: | 512/.55 |
| Soggetto topico: | Semisimple Lie groups |
| Representations of groups | |
| Harmonic analysis | |
| Stiefel manifolds | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | "January 1992, Volume 95, Number 462 (end of volume)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""0. Introduction""; ""1. Notation""; ""1. Î?-stable parabolic subalgebra""; ""2. good range, fair range""; ""3. cohomological parabolic induction""; ""4. results from Zuckerman and Vogan""; ""5. results from Harish-Chandra and Oshima-Matsuki""; ""2. Main results""; ""1. G = Spfaq)""; ""2. main theorem for G = Sp(p,q)""; ""3. G = U(p,q)""; ""4. main theorem for G = U(p,q)""; ""5. G = SO0(p,q)""; ""6. main theorem for G = SOo( p,q)""; ""7. list and figures of various conditions on parameters""; ""8. remarks""; ""3. Further notations and preliminary results"" |
| ""1. Jantzen-Zuckerman's translation functor""""2. induction by stages""; ""3. definition of A (λ[omitted] λ')""; ""4. A (λ[omitted] λ') and derived functor modules""; ""5. some symbols""; ""4. Some explicit formulas on K multiplicities""; ""1. preliminaries""; ""2. some alternating polynomials""; ""3. result in quaternionic case""; ""4. result in complex case""; ""5. result in real case""; ""6. some auxiliary lemmas""; ""7. proof for quarternionic case""; ""8. proof for complex case""; ""9. proof for real case"" | |
| ""10. verification of (6.5.4)(c)""""11. proof of Corollary(6.4.1)""; ""7. Proof of vanishing results outside the fair range""; ""1. proof in complex case""; ""2. vanishing result in quaternionic case""; ""3. maximal parabolic case""; ""4. general parabolic case""; ""8. Proof of the inequivalence results""; ""1. quarternionic case""; ""2. orthogonal case""; ""References"" | |
| Titolo autorizzato: | Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F) |
| ISBN: | 1-4704-0888-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480697603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 95, Number 462.