Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F):
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
1992
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
462 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005050108&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Volume 95, Number 462 (end of volume) |
| Umfang: | V, 106 S. |
| ISBN: | 0821825240 |
Internformat
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| 245 | 1 | 0 | |a Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) |c Toshiyuki Kobayashi |
| 264 | 1 | |a Providence, RI |c 1992 | |
| 300 | |a V, 106 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 462 | |
| 500 | |a Volume 95, Number 462 (end of volume) | ||
| 650 | 4 | |a Harmonic analysis | |
| 650 | 4 | |a Representations of groups | |
| 650 | 4 | |a Semisimple Lie groups | |
| 650 | 4 | |a Stiefel manifolds | |
| 650 | 0 | 7 | |a Harmonische Analyse |0 (DE-588)4023453-8 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Darstellungstheorie |0 (DE-588)4148816-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Halbeinfache Lie-Algebra |0 (DE-588)4193986-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Stiefel-Mannigfaltigkeit |0 (DE-588)4183295-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Stiefel-Mannigfaltigkeit |0 (DE-588)4183295-4 |D s |
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| 689 | 0 | 2 | |a Darstellungstheorie |0 (DE-588)4148816-7 |D s |
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| 830 | 0 | |a Memoirs of the American Mathematical Society |v 462 |w (DE-604)BV008000141 |9 462 | |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 592052 |
|---|---|
| _version_ | 1821938635882102784 |
| adam_text | Contents
0. Introduction 1
1. Notation 13
1. ^ stable parabolic subalgebra 13
2. good range, fair range 15
3. cohomological parabolic induction 16
4. results from Zuckerman and Vogan 16
5. results from Harish Chandra and Oshima Matsuki 17
2. Main results 19
1. G = Sp(p, q) 19
2. main theorem for G = Sp(p, q) 20
3. G = U(p,q) 22
4. main theorem for G = U(p, q) 23
5. G = SO0(p,q) 25
6. main theorem for G = SOo(p, q) 26
7. list and figures of various conditions on parameters 28
8. remarks 33
3. Further notations and preliminary results 35
1. Jantzen Zuckerman s translation functor 35
2. induction by stages 36
3. definition of A (A A ) 36
4. A (A A ) and derived functor modules 37
5. some symbols 40
4. Some explicit formulas on K multiplicities 42
1. preliminaries 42
2. some alternating polynomials 48
3. result in quaternionic case 52
4. result in complex case 54
5. result in real case 56
6. some auxiliary lemmas 58
iii
iv Contents
7. proof for quarternionic case 62
8. proof for complex case 65
9. proof for real case 69
5. An alternative proof of the sufficiency for 7J^(CA) / 0 70
1. theorem: sufficient condition for TZ^(C ) ^0 71
2. key lemmas 75
3. proof of the combinatorial part 76
6. Proof of irreducibility results 78
1. irreducibility in the fair range 78
2. twisted differential operators 79
3. theorem 81
4. irreducibility result .. .. .._... . ._81
5. Vogan s idea on the translation principle for Ay(l : g) 82
6. notations about GL(n, C) and Sp(n, C) 83
7. definition of C. 85
8. verification of (6.5.4)(a) 87
9. verification of (6.5.4)(b) 91
10. verification of (6.5.4)(c) 92
11. proof of Corollary(6.4.1) 93
7. Proof of vanishing results outside the fair range 96
1. proof in complex case 96
2. vanishing result in quaternionic case 97
3. maximal parabolic case __. . _.. 98
4. general parabolic case 99
8. Proof of the inequivalence results 101
1. quarternionic case 101
2. orthogonal case 102
References 104
|
| any_adam_object | 1 |
| author | Kobayashi, Toshiyuki 1962- |
| author_GND | (DE-588)134051513 |
| author_facet | Kobayashi, Toshiyuki 1962- |
| author_role | aut |
| author_sort | Kobayashi, Toshiyuki 1962- |
| author_variant | t k tk |
| building | Verbundindex |
| bvnumber | BV007693526 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_tum | MAT 146f |
| ctrlnum | (OCoLC)24544804 (DE-599)BVBBV007693526 |
| dewey-full | 510 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 512 - Algebra |
| dewey-raw | 510 512/.55 |
| dewey-search | 510 512/.55 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV007693526 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T09:09:55Z |
| institution | BVB |
| isbn | 0821825240 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005050108 |
| oclc_num | 24544804 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-12 DE-384 DE-91G DE-BY-TUM DE-824 DE-739 DE-29T DE-19 DE-BY-UBM DE-11 DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-12 DE-384 DE-91G DE-BY-TUM DE-824 DE-739 DE-29T DE-19 DE-BY-UBM DE-11 DE-83 |
| physical | V, 106 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spellingShingle | Kobayashi, Toshiyuki 1962- Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) Memoirs of the American Mathematical Society Harmonic analysis Representations of groups Semisimple Lie groups Stiefel manifolds Harmonische Analyse (DE-588)4023453-8 gnd Diskrete Reihe (DE-588)4150181-0 gnd Unitäre Darstellung (DE-588)4186906-0 gnd Darstellungstheorie (DE-588)4148816-7 gnd Halbeinfache Lie-Algebra (DE-588)4193986-4 gnd Stiefel-Mannigfaltigkeit (DE-588)4183295-4 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4150181-0 (DE-588)4186906-0 (DE-588)4148816-7 (DE-588)4193986-4 (DE-588)4183295-4 |
| title | Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) |
| title_auth | Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) |
| title_exact_search | Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) |
| title_full | Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) Toshiyuki Kobayashi |
| title_fullStr | Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) Toshiyuki Kobayashi |
| title_full_unstemmed | Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) Toshiyuki Kobayashi |
| title_short | Singular unitary representations and discrete series for indefinite Stiefel manifolds U(p,q;F)/U(p-m,q;F) |
| title_sort | singular unitary representations and discrete series for indefinite stiefel manifolds u p q f u p m q f |
| topic | Harmonic analysis Representations of groups Semisimple Lie groups Stiefel manifolds Harmonische Analyse (DE-588)4023453-8 gnd Diskrete Reihe (DE-588)4150181-0 gnd Unitäre Darstellung (DE-588)4186906-0 gnd Darstellungstheorie (DE-588)4148816-7 gnd Halbeinfache Lie-Algebra (DE-588)4193986-4 gnd Stiefel-Mannigfaltigkeit (DE-588)4183295-4 gnd |
| topic_facet | Harmonic analysis Representations of groups Semisimple Lie groups Stiefel manifolds Harmonische Analyse Diskrete Reihe Unitäre Darstellung Darstellungstheorie Halbeinfache Lie-Algebra Stiefel-Mannigfaltigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005050108&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT kobayashitoshiyuki singularunitaryrepresentationsanddiscreteseriesforindefinitestiefelmanifoldsupqfupmqf |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 990-459/462 Lageplan |
|---|---|
| Exemplar 1 |
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