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UNINA9910480697603321 |
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Autore |
Kobayashi Toshiyuki <1962-> |
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Titolo |
Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1992 |
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©1992 |
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ISBN |
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Descrizione fisica |
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1 online resource (117 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 95, Number 462 |
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Disciplina |
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Soggetti |
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Semisimple Lie groups |
Representations of groups |
Harmonic analysis |
Stiefel manifolds |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 1992, Volume 95, Number 462 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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""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"" |
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