Admissible invariant distributions on reductive p-adic groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[1999]
|
| Schriftenreihe: | University lecture series
Volume 16 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | xiv, 97 Seiten |
| ISBN: | 0821820257 9780821820254 |
Internformat
MARC
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| 245 | 1 | 0 | |a Admissible invariant distributions on reductive p-adic groups |c Harish-Chandra. Notes by Stephen DeBacker and Paul J. Sally, Jr. |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [1999] | |
| 264 | 4 | |c © 1999 | |
| 300 | |a xiv, 97 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a University lecture series |v Volume 16 | |
| 650 | 4 | |a Distribution (Théorie des probabilités) | |
| 650 | 4 | |a Groupes p-adiques | |
| 650 | 4 | |a Distribution (Probability theory) | |
| 650 | 4 | |a p-adic groups | |
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Datensatz im Suchindex
| _version_ | 1804127469882572800 |
|---|---|
| adam_text | Contents
Preface ix
Introduction 1
Part I. Fourier transforms on the Lie algebra 5
1. The mapping f * * 4 j 5
2. Some results about neighborhoods of semisimple elements 13
3. Proof of Theorem 3.1 17
4. Some consequences of Theorem 3.1 30
5. Proof of Theorem 5.11 32
6. Application of the induction hypothesis 38
7. Reformulation of the problem and completion of the proof 42
8. Some results on Shalika s germs 48
9. Proof of Theorem 9.6 51
Part II. An extension and proof of Howe s Theorem 55
10. Some special subsets of g 55
11. An extension of Howe s Theorem 58
12. First step in the proof of Howe s Theorem 62
13. Completion of the proof of Howe s Theorem 63
Part III. Theory on the group 71
14. Representations of compact groups 71
15. Admissible distributions 74
16. Statement of the main results 74
17. Recapitulation of Howe s theory 75
18. Application to admissible invariant distributions 76
19. First step of the reduction from G to M 79
20. Second step 82
21. Completion of the proof 84
22. Formal degree of a supercuspidal representation 86
Bibliography 91
List of Symbols 95
Index 97
vii
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| dewey-ones | 512 - Algebra |
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| dewey-search | 512/.74 |
| dewey-sort | 3512 274 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV012799249 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:33:51Z |
| institution | BVB |
| isbn | 0821820257 9780821820254 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008704287 |
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| physical | xiv, 97 Seiten |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | American Mathematical Society |
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| series | University lecture series |
| series2 | University lecture series |
| spelling | Harish-Chandra 1923-1983 Verfasser (DE-588)119089130 aut Admissible invariant distributions on reductive p-adic groups Harish-Chandra. Notes by Stephen DeBacker and Paul J. Sally, Jr. Providence, Rhode Island American Mathematical Society [1999] © 1999 xiv, 97 Seiten txt rdacontent n rdamedia nc rdacarrier University lecture series Volume 16 Distribution (Théorie des probabilités) Groupes p-adiques Distribution (Probability theory) p-adic groups p-adische Lie-Gruppe (DE-588)4398268-2 gnd rswk-swf Reduktive Lie-Gruppe (DE-588)4277842-6 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Reduktive Lie-Gruppe (DE-588)4277842-6 s Analysis (DE-588)4001865-9 s DE-604 p-adische Lie-Gruppe (DE-588)4398268-2 s Debacker, Stephen wat Sally, Paul 1933- (DE-588)136128629 wat Erscheint auch als Online-Ausgabe 978-1-4704-2165-6 University lecture series Volume 16 (DE-604)BV004153846 16 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008704287&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Harish-Chandra 1923-1983 Admissible invariant distributions on reductive p-adic groups University lecture series Distribution (Théorie des probabilités) Groupes p-adiques Distribution (Probability theory) p-adic groups p-adische Lie-Gruppe (DE-588)4398268-2 gnd Reduktive Lie-Gruppe (DE-588)4277842-6 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4398268-2 (DE-588)4277842-6 (DE-588)4001865-9 |
| title | Admissible invariant distributions on reductive p-adic groups |
| title_auth | Admissible invariant distributions on reductive p-adic groups |
| title_exact_search | Admissible invariant distributions on reductive p-adic groups |
| title_full | Admissible invariant distributions on reductive p-adic groups Harish-Chandra. Notes by Stephen DeBacker and Paul J. Sally, Jr. |
| title_fullStr | Admissible invariant distributions on reductive p-adic groups Harish-Chandra. Notes by Stephen DeBacker and Paul J. Sally, Jr. |
| title_full_unstemmed | Admissible invariant distributions on reductive p-adic groups Harish-Chandra. Notes by Stephen DeBacker and Paul J. Sally, Jr. |
| title_short | Admissible invariant distributions on reductive p-adic groups |
| title_sort | admissible invariant distributions on reductive p adic groups |
| topic | Distribution (Théorie des probabilités) Groupes p-adiques Distribution (Probability theory) p-adic groups p-adische Lie-Gruppe (DE-588)4398268-2 gnd Reduktive Lie-Gruppe (DE-588)4277842-6 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Distribution (Théorie des probabilités) Groupes p-adiques Distribution (Probability theory) p-adic groups p-adische Lie-Gruppe Reduktive Lie-Gruppe Analysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008704287&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004153846 |
| work_keys_str_mv | AT harishchandra admissibleinvariantdistributionsonreductivepadicgroups AT debackerstephen admissibleinvariantdistributionsonreductivepadicgroups AT sallypaul admissibleinvariantdistributionsonreductivepadicgroups |