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Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi
| Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi |
| Autore | Kobayashi Toshiyuki <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semisimple Lie groups
Representations of groups Harmonic analysis Stiefel manifolds |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0888-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910480697603321 |
Kobayashi Toshiyuki <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi
| Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi |
| Autore | Kobayashi Toshiyuki <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semisimple Lie groups
Representations of groups Harmonic analysis Stiefel manifolds |
| ISBN | 1-4704-0888-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788877003321 |
|
Kobayashi Toshiyuki <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi
| Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) / / Toshiyuki Kobayashi |
| Autore | Kobayashi Toshiyuki <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1992 |
| Descrizione fisica | 1 online resource (117 p.) |
| Disciplina | 512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Semisimple Lie groups
Representations of groups Harmonic analysis Stiefel manifolds |
| ISBN | 1-4704-0888-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910829049703321 |
|
Kobayashi Toshiyuki <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1992 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The topology of Stiefel manifolds / I. M. James
| The topology of Stiefel manifolds / I. M. James |
| Autore | James, Ioan Mackenzie |
| Pubbl/distr/stampa | Cambridge : Cambridge University Press, 1976 |
| Descrizione fisica | viii, 168 p. ; 23 cm |
| Disciplina | 514.2 |
| Collana | London Mathematical Society lecture note series, 0076-0552 ; 24 |
| Soggetto topico | Stiefel manifolds |
| ISBN | 0521213347 |
| Classificazione | AMS 57N65 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001455289707536 |
|
James, Ioan Mackenzie
|
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| Cambridge : Cambridge University Press, 1976 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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