On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
AMS
1998
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
635 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 134, Number 635 (first of 6 numbers) |
| Physical Description: | IX, 101 S. |
| ISBN: | 082180765X |
Staff View
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| 100 | 1 | |a Assem, Magdy |d 1954-1996 |e Verfasser |0 (DE-588)173222153 |4 aut | |
| 245 | 1 | 0 | |a On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups |c Magdy Assem |
| 264 | 1 | |a Providence, RI |b AMS |c 1998 | |
| 300 | |a IX, 101 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 635 | |
| 500 | |a Volume 134, Number 635 (first of 6 numbers) | ||
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Record in the Search Index
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| adam_text | Contents
0. Introduction 1
1. Unipotent orbits and prehomogeneous spaces 6
1. Ranga Rao data 6
2. Some classes of examples 9
3. Induction of G(F) unipotent classes 10
2. The Hecke algebra and some Igusa local orbital zeta functions 13
1. Unipotent orbital integrals as special values of orbital Igusa zeta functions 13
2. GL(n, O/r) orbit decomposition of Sym (n) and local densitites 14
3. The /( decomposition of supp (Xh/JH X)) n g(2) 15
3. The evaluation of / at the identity 24
1. The integral of *t, 2 k n, Part A 25
2. The integral of *t, 2 k n, Part B 31
3. The integral of *i 35
4. The value / (I) for H = SOE(4) x SL(2) 37
5. Matching results 44
4. Matching of unipotent orbital integrals 58
1. Unramified endoscopic data 58
2. The map f f 59
3. Endoscopic induction of unipotent orbits 59
4. Matching of regular unipotent orbital integrals 61
5. Matching of unipotent orbital integrals for G = Sp(6) and its unramified endoscopic groups 63
6. Matching of subregular orbital integrals 68
7. Matching of the orbits 2r I2 2 , for r = 2,3 69
8. Matching results for Sp(8) 70
9. Endoscopic transfer of the trivial orbital integral 76
10. Endoscopic transfer of other orbital integrals 77
11. Some remarks on the transfer factors 78
5. Remarks on stability and endoscopic transfer 80
1. Stable distributions 80
2. Formal properties of endoscopic induction and stability 80
3. Remarks on Shalika germs 82
4. Conjecture (B) implies Conjecture (A) 83
5. Stability and subregular packets 84
6. Heuristics 85
Appendix I 89
Appendix II 97
References 100
|
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| id | DE-604.BV012135168 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:22:19Z |
| institution | BVB |
| isbn | 082180765X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008218957 |
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| physical | IX, 101 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | AMS |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Assem, Magdy 1954-1996 Verfasser (DE-588)173222153 aut On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups Magdy Assem Providence, RI AMS 1998 IX, 101 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 635 Volume 134, Number 635 (first of 6 numbers) Reduktive Gruppe - Symplektische Gruppe - Orbitalintegral - p-adische Gruppe Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Integral (DE-588)4131477-3 gnd rswk-swf Symplektische Gruppe (DE-588)4276585-7 gnd rswk-swf p-adischer Zahlkörper (DE-588)4173065-3 gnd rswk-swf Symplektische Gruppe (DE-588)4276585-7 s p-adischer Zahlkörper (DE-588)4173065-3 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Integral (DE-588)4131477-3 s American Mathematical Society: Memoirs of the American Mathematical Society 635 (DE-604)BV008000141 635 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008218957&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Assem, Magdy 1954-1996 On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups American Mathematical Society: Memoirs of the American Mathematical Society Reduktive Gruppe - Symplektische Gruppe - Orbitalintegral - p-adische Gruppe Darstellungstheorie (DE-588)4148816-7 gnd Integral (DE-588)4131477-3 gnd Symplektische Gruppe (DE-588)4276585-7 gnd p-adischer Zahlkörper (DE-588)4173065-3 gnd |
| subject_GND | (DE-588)4148816-7 (DE-588)4131477-3 (DE-588)4276585-7 (DE-588)4173065-3 |
| title | On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups |
| title_auth | On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups |
| title_exact_search | On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups |
| title_full | On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups Magdy Assem |
| title_fullStr | On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups Magdy Assem |
| title_full_unstemmed | On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups Magdy Assem |
| title_short | On stability and endoscopic transfer of unipotent orbital integrals on p-adic symplectic groups |
| title_sort | on stability and endoscopic transfer of unipotent orbital integrals on p adic symplectic groups |
| topic | Reduktive Gruppe - Symplektische Gruppe - Orbitalintegral - p-adische Gruppe Darstellungstheorie (DE-588)4148816-7 gnd Integral (DE-588)4131477-3 gnd Symplektische Gruppe (DE-588)4276585-7 gnd p-adischer Zahlkörper (DE-588)4173065-3 gnd |
| topic_facet | Reduktive Gruppe - Symplektische Gruppe - Orbitalintegral - p-adische Gruppe Darstellungstheorie Integral Symplektische Gruppe p-adischer Zahlkörper |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008218957&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT assemmagdy onstabilityandendoscopictransferofunipotentorbitalintegralsonpadicsymplecticgroups |