Quantum linear groups and representations of GL n (F q ):
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
AMS
2001
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
706 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 149, number 706 (first of 4 numbers)." |
| Beschreibung: | VIII, 112 S. |
Internformat
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| 245 | 1 | 0 | |a Quantum linear groups and representations of GL n (F q ) |c Jonathan Brundan ; Richard Dipper ; Alexander Kleshchev |
| 264 | 1 | |a Providence, R.I. |b AMS |c 2001 | |
| 300 | |a VIII, 112 S. | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 706 | |
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| 650 | 4 | |a Group schemes (Mathematics) | |
| 650 | 4 | |a Linear algebraic groups | |
| 650 | 4 | |a Representations of groups | |
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Datensatz im Suchindex
| _version_ | 1804128227173597184 |
|---|---|
| adam_text | Contents
Introduction 1
1 Quantum linear groups and polynomial induction 9
1.1 Symmetric groups and Hecke algebras 9
1.2 The 9 Schur algebra 11
1.3 Tensor products and Levi subalgebras 14
1.4 Polynomial induction 19
1.5 Schur algebra induction 25
2 Classical results on GLn 29
2.1 Conjugacy classes and Levi subgroups 29
2.2 Harish Chandra induction and restriction 31
2.3 Characters and Deligne Lusztig operators 34
2.4 Cuspidal representations and blocks 37
2.5 Howlett Lehrer theory and the Gelfand Graev representation 41
3 Connecting GLn with quantum linear groups 47
3.1 Schur functors 47
3.2 The cuspidal algebra 50
3.3 Symmetric and exterior powers 54
3.4 Endomorphism algebras 58
3.5 Standard modules 63
4 Further connections and applications 67
4.1 Base change 67
4.2 Connecting Harish Chandra induction with tensor products 71
4.3 p Singular classes 75
4.4 Blocks and decomposition numbers 79
4.5 The Ringel dual of the cuspidal algebra 83
5 The affine general linear group 87
5.1 Levels and the branching rule from AGLn to GLn 87
5.2 Affine induction operators 93
5.3 The affine cuspidal algebra 98
5.4 The branching rule from GLn to AGLn i 101
5.5 A dimension formula for irreducibles 105
Bibliography 109
vii
|
| any_adam_object | 1 |
| author | Brundan, Jonathan 1970- Dipper, Richard Kleščev, Aleksandr S. 1966- |
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| author_facet | Brundan, Jonathan 1970- Dipper, Richard Kleščev, Aleksandr S. 1966- |
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| classification_rvk | SI 130 |
| classification_tum | MAT 147f |
| ctrlnum | (OCoLC)45024455 (DE-599)BVBBV013437170 |
| dewey-full | 512/.2 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
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| indexdate | 2024-07-09T18:45:53Z |
| institution | BVB |
| language | English |
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| physical | VIII, 112 S. |
| publishDate | 2001 |
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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 | Brundan, Jonathan 1970- Verfasser (DE-588)137054335 aut Quantum linear groups and representations of GL n (F q ) Jonathan Brundan ; Richard Dipper ; Alexander Kleshchev Providence, R.I. AMS 2001 VIII, 112 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 706 "Volume 149, number 706 (first of 4 numbers)." Kwantumgroepen gtt Lineaire groepen gtt Representatie (wiskunde) gtt Group schemes (Mathematics) Linear algebraic groups Representations of groups Lineare algebraische Gruppe (DE-588)4295326-1 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Gruppenschema (DE-588)4022399-1 gnd rswk-swf Lineare algebraische Gruppe (DE-588)4295326-1 s Darstellungstheorie (DE-588)4148816-7 s Gruppenschema (DE-588)4022399-1 s DE-604 Dipper, Richard Verfasser (DE-588)1046436279 aut Kleščev, Aleksandr S. 1966- Verfasser (DE-588)136718264 aut American Mathematical Society: Memoirs of the American Mathematical Society 706 (DE-604)BV008000141 706 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009170588&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brundan, Jonathan 1970- Dipper, Richard Kleščev, Aleksandr S. 1966- Quantum linear groups and representations of GL n (F q ) American Mathematical Society: Memoirs of the American Mathematical Society Kwantumgroepen gtt Lineaire groepen gtt Representatie (wiskunde) gtt Group schemes (Mathematics) Linear algebraic groups Representations of groups Lineare algebraische Gruppe (DE-588)4295326-1 gnd Darstellungstheorie (DE-588)4148816-7 gnd Gruppenschema (DE-588)4022399-1 gnd |
| subject_GND | (DE-588)4295326-1 (DE-588)4148816-7 (DE-588)4022399-1 |
| title | Quantum linear groups and representations of GL n (F q ) |
| title_auth | Quantum linear groups and representations of GL n (F q ) |
| title_exact_search | Quantum linear groups and representations of GL n (F q ) |
| title_full | Quantum linear groups and representations of GL n (F q ) Jonathan Brundan ; Richard Dipper ; Alexander Kleshchev |
| title_fullStr | Quantum linear groups and representations of GL n (F q ) Jonathan Brundan ; Richard Dipper ; Alexander Kleshchev |
| title_full_unstemmed | Quantum linear groups and representations of GL n (F q ) Jonathan Brundan ; Richard Dipper ; Alexander Kleshchev |
| title_short | Quantum linear groups and representations of GL n (F q ) |
| title_sort | quantum linear groups and representations of gl n f q |
| topic | Kwantumgroepen gtt Lineaire groepen gtt Representatie (wiskunde) gtt Group schemes (Mathematics) Linear algebraic groups Representations of groups Lineare algebraische Gruppe (DE-588)4295326-1 gnd Darstellungstheorie (DE-588)4148816-7 gnd Gruppenschema (DE-588)4022399-1 gnd |
| topic_facet | Kwantumgroepen Lineaire groepen Representatie (wiskunde) Group schemes (Mathematics) Linear algebraic groups Representations of groups Lineare algebraische Gruppe Darstellungstheorie Gruppenschema |
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| volume_link | (DE-604)BV008000141 |
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