The admissible dual of GL(N) via compact open subgroups:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Princeton, NJ
Princeton Univ. Press
1993
|
| Series: | Annals of mathematics studies
129 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 313 S. |
| ISBN: | 0691032564 0691021147 |
Staff View
MARC
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| 245 | 1 | 0 | |a The admissible dual of GL(N) via compact open subgroups |c by Colin J. Bushnell and Philip C. Kutzko |
| 264 | 1 | |a Princeton, NJ |b Princeton Univ. Press |c 1993 | |
| 300 | |a IX, 313 S. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Introduction 1
Comments for the reader 17
1. Exactness and intertwining 19
(1.1) Hereditary orders 19
(1.2) Hereditary orders relative to subfields 24
(1.3) Tame corestriction 28
(1.4) Adjoint maps 35
(1.5) Simple strata and intertwining 43
(1.6) The simple intersection property 46
2. The structure of simple strata 49
(2.1) Equivalence of pure strata 49
(2.2) Refinements of simple strata 51
(2.3) Split refinements 57
(2.4) Approximation of simple strata 65
(2.5) Nonsplit fundamental strata 76
(2.6) Intertwining and conjugacy 83
3. The simple characters of a simple stratum 89
(3.1) The rings of a simple stratum 89
(3.2) Characters and commutators 98
(3.3) Intertwining 104
(3.4) A nondegeneracy property 114
(3.5) Intertwining and conjugacy 116
(3.6) Change of rings 126
4. Interlude with Hecke algebras 143
(4.1) Induction and intertwining 143
(4.2) Scalar Hecke algebras 146
(4.3) Unitary structures 152
5. Simple types 157
(5.1) Heisenberg representations 158
(5.2) Extending to level zero 165
(5.3) A bound on intertwining 176
(5.4) Affine Hecke algebras and Weyl groups 177
(5.5) Intertwining and Weyl groups 181
(5.6) The Hecke algebra of a simple type 188
(5.7) Intertwining and conjugacy for simple types 195
6. Maximal types 199
(6.1) Extension by a central character 199
(6.2) Supercuspidal representations 202
vii
7. Typical representations 207
(7.1) Some Iwahori decompositions 208
(7.2) Iwahori factorisation of a simple type 215
(7.3) Main theorems 222
(7.4) Proof of the principal lemma 231
(7.5) The strong intertwining property 234
(7.6) Jacquet functors and Hecke algebra maps 241
(7.7) Discrete series and formal degree 256
8. Atypical representations 265
(8.1) Split types 266
(8.2) Jacquet module of a split type I 275
(8.3) Jacquet module of a split type II 290
(8.4) The main theorems 297
(8.5) Classification 298
References 307
Index of notation and terminology 311
viii
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| any_adam_object | 1 |
| author | Bushnell, Colin J. 1947- Kutzko, Philip C. |
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| dewey-ones | 512 - Algebra |
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| indexdate | 2024-07-09T16:57:23Z |
| institution | BVB |
| isbn | 0691032564 0691021147 |
| language | English |
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| physical | IX, 313 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
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| series | Annals of mathematics studies |
| series2 | Annals of mathematics studies |
| spelling | Bushnell, Colin J. 1947- Verfasser (DE-588)110483413 aut The admissible dual of GL(N) via compact open subgroups by Colin J. Bushnell and Philip C. Kutzko Princeton, NJ Princeton Univ. Press 1993 IX, 313 S. txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies 129 Analyse mathématique non standard ram Groepen (wiskunde) gtt Niet-standaardanalyse gtt Representatie (wiskunde) gtt Représentations de groupes ram Nonstandard mathematical analysis Representations of groups Reduktive Gruppe (DE-588)4177313-5 gnd rswk-swf Irreduzible Darstellung (DE-588)4162430-0 gnd rswk-swf Reduktive Gruppe (DE-588)4177313-5 s Irreduzible Darstellung (DE-588)4162430-0 s DE-604 Kutzko, Philip C. Verfasser aut Annals of mathematics studies 129 (DE-604)BV000000991 129 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004601456&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bushnell, Colin J. 1947- Kutzko, Philip C. The admissible dual of GL(N) via compact open subgroups Annals of mathematics studies Analyse mathématique non standard ram Groepen (wiskunde) gtt Niet-standaardanalyse gtt Representatie (wiskunde) gtt Représentations de groupes ram Nonstandard mathematical analysis Representations of groups Reduktive Gruppe (DE-588)4177313-5 gnd Irreduzible Darstellung (DE-588)4162430-0 gnd |
| subject_GND | (DE-588)4177313-5 (DE-588)4162430-0 |
| title | The admissible dual of GL(N) via compact open subgroups |
| title_auth | The admissible dual of GL(N) via compact open subgroups |
| title_exact_search | The admissible dual of GL(N) via compact open subgroups |
| title_full | The admissible dual of GL(N) via compact open subgroups by Colin J. Bushnell and Philip C. Kutzko |
| title_fullStr | The admissible dual of GL(N) via compact open subgroups by Colin J. Bushnell and Philip C. Kutzko |
| title_full_unstemmed | The admissible dual of GL(N) via compact open subgroups by Colin J. Bushnell and Philip C. Kutzko |
| title_short | The admissible dual of GL(N) via compact open subgroups |
| title_sort | the admissible dual of gl n via compact open subgroups |
| topic | Analyse mathématique non standard ram Groepen (wiskunde) gtt Niet-standaardanalyse gtt Representatie (wiskunde) gtt Représentations de groupes ram Nonstandard mathematical analysis Representations of groups Reduktive Gruppe (DE-588)4177313-5 gnd Irreduzible Darstellung (DE-588)4162430-0 gnd |
| topic_facet | Analyse mathématique non standard Groepen (wiskunde) Niet-standaardanalyse Representatie (wiskunde) Représentations de groupes Nonstandard mathematical analysis Representations of groups Reduktive Gruppe Irreduzible Darstellung |
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