Degenerate principal series for symplectic groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1993
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
488 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 102, Number 488 (third of 4 numbers) Literaturverz. S. 109 - 111 |
| Physical Description: | XIII, 111 S. graph. Darst. |
| ISBN: | 0821825496 |
Staff View
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
ABSTRACT vi
LIST OF FIGURES vii
LIST OF TABLES viii
INTRODUCTION ix
Chapter
1. NOTATION AND PRELIMINARIES 1
1.1. SP2n(F) 1
1.2. Induced representations and Jacquet modules 4
2. THE HECKE ALGEBRA APPROACH 8
2.1. General theorems 8
2.2. Basis for Vs* 14
2.3. Irreducibility when (order u) 2 30
2.4. Irreducibility conditions for (order u) =2 34
2.5. Irreducibility conditions for (order u) = 1 45
2.6. Reducibility conditions for (order u) = 1 53
2.7. Reducibility conditions for (order u) = 2 57
3. IRREDUCIBILITY OF CERTAIN REPRESENTATIONS A LA TADIC 59
3.1. A general theorem on reducibility/irreducibility (in the regular
case) 59
3.2. Applications to degenerate principal series for Sp2n(F) (in the
regular case) 63
4. IRREDUCIBILITY CRITERIA FOR DEGENERATE PRINCIPAL
SERIES IN SP4(F), SP6(F), A LA TADIC 70
4.1. Extending definitions to the nonregular case 70
4.2. Degenerate Principal Series in Sp4(F) 71
4.3. Degenerate Principal Series in Spe(F) 76
APPENDIX 104
REFERENCES 109
v
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| any_adam_object | 1 |
| author | Jantzen, Chris 1962- |
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| dewey-tens | 510 - Mathematics |
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| id | DE-604.BV008184055 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:15:57Z |
| institution | BVB |
| isbn | 0821825496 |
| language | English |
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| physical | XIII, 111 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | American Math. Soc. |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Jantzen, Chris 1962- Verfasser (DE-588)172547296 aut Degenerate principal series for symplectic groups Chris Jantzen Providence, RI American Math. Soc. 1993 XIII, 111 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 488 Volume 102, Number 488 (third of 4 numbers) Literaturverz. S. 109 - 111 Algebra larpcal Geometria Diferencial larpcal Lie-groepen gtt Hecke algebras Representations of groups Symplectic groups p-adic fields p-adischer Zahlkörper (DE-588)4173065-3 gnd rswk-swf Symplektische Gruppe (DE-588)4276585-7 gnd rswk-swf Hecke-Algebra (DE-588)4159341-8 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Darstellung Mathematik (DE-588)4128289-9 gnd rswk-swf Dimension 1 (DE-588)4323094-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Hecke-Algebra (DE-588)4159341-8 s DE-604 Darstellungstheorie (DE-588)4148816-7 s Symplektische Gruppe (DE-588)4276585-7 s p-adischer Zahlkörper (DE-588)4173065-3 s Darstellung Mathematik (DE-588)4128289-9 s Dimension 1 (DE-588)4323094-5 s American Mathematical Society: Memoirs of the American Mathematical Society 488 (DE-604)BV008000141 488 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005401191&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jantzen, Chris 1962- Degenerate principal series for symplectic groups American Mathematical Society: Memoirs of the American Mathematical Society Algebra larpcal Geometria Diferencial larpcal Lie-groepen gtt Hecke algebras Representations of groups Symplectic groups p-adic fields p-adischer Zahlkörper (DE-588)4173065-3 gnd Symplektische Gruppe (DE-588)4276585-7 gnd Hecke-Algebra (DE-588)4159341-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd Darstellung Mathematik (DE-588)4128289-9 gnd Dimension 1 (DE-588)4323094-5 gnd |
| subject_GND | (DE-588)4173065-3 (DE-588)4276585-7 (DE-588)4159341-8 (DE-588)4148816-7 (DE-588)4128289-9 (DE-588)4323094-5 (DE-588)4113937-9 |
| title | Degenerate principal series for symplectic groups |
| title_auth | Degenerate principal series for symplectic groups |
| title_exact_search | Degenerate principal series for symplectic groups |
| title_full | Degenerate principal series for symplectic groups Chris Jantzen |
| title_fullStr | Degenerate principal series for symplectic groups Chris Jantzen |
| title_full_unstemmed | Degenerate principal series for symplectic groups Chris Jantzen |
| title_short | Degenerate principal series for symplectic groups |
| title_sort | degenerate principal series for symplectic groups |
| topic | Algebra larpcal Geometria Diferencial larpcal Lie-groepen gtt Hecke algebras Representations of groups Symplectic groups p-adic fields p-adischer Zahlkörper (DE-588)4173065-3 gnd Symplektische Gruppe (DE-588)4276585-7 gnd Hecke-Algebra (DE-588)4159341-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd Darstellung Mathematik (DE-588)4128289-9 gnd Dimension 1 (DE-588)4323094-5 gnd |
| topic_facet | Algebra Geometria Diferencial Lie-groepen Hecke algebras Representations of groups Symplectic groups p-adic fields p-adischer Zahlkörper Symplektische Gruppe Hecke-Algebra Darstellungstheorie Darstellung Mathematik Dimension 1 Hochschulschrift |
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| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT jantzenchris degenerateprincipalseriesforsymplecticgroups |