Representations of algebraic groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2003]
|
| Ausgabe: | Second edition |
| Schriftenreihe: | Mathematical surveys and monographs
Volume 107 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | xiii, 576 Seiten |
| ISBN: | 0821835270 9780821835272 9780821843772 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Introduction vii
Part I. General Theory
1. Schemes 3
2. Group Schemes and Representations 19
3. Induction and Injective Modules 37
4. Cohomology 49
5. Quotients and Associated Sheaves 65
6. Factor Groups 85
7. Algebras of Distributions 95
8. Representations of Finite Algebraic Groups 111
9. Representations of Frobenius Kernels 125
10. Reduction mod p 141
Part II. Representations of Reductive Groups
1. Reductive Groups 153
2. Simple G Modules 175
3. Irreducible Representations of the Frobenius Kernels 189
4. Kempf s Vanishing Theorem 201
5. The Borel Bott Weil Theorem and Weyl s Character Formula 217
6. The Linkage Principle 231
7. The Translation Functors 251
8. Filtrations of Weyl Modules 267
9. Representations of GrT and GrB 291
10. Geometric Reductivity and Other Applications of the
Steinberg Modules 315
11. Injective Gr Modules 325
12. Cohomology of the Frobenius Kernels 343
13. Schubert Schemes 353
14. Line Bundles on Schubert Schemes 365
A. Truncated Categories and Schur Algebras 385
B. Results over the Integers 411
C. Lusztig s Conjecture and Some Consequences 419
V
vi CONTENTS
D. Radical Filtrations and Kazhdan Lusztig Polynomials 439
E. Tilting Modules 457
F. Frobenius Splitting 479
G. Frobenius Splitting and Good Filtrations 501
H. Representations of Quantum Groups 515
References 531
List of Notations 569
Index 573
|
| adam_txt |
Contents
Introduction vii
Part I. General Theory
1. Schemes 3
2. Group Schemes and Representations 19
3. Induction and Injective Modules 37
4. Cohomology 49
5. Quotients and Associated Sheaves 65
6. Factor Groups 85
7. Algebras of Distributions 95
8. Representations of Finite Algebraic Groups 111
9. Representations of Frobenius Kernels 125
10. Reduction mod p 141
Part II. Representations of Reductive Groups
1. Reductive Groups 153
2. Simple G Modules 175
3. Irreducible Representations of the Frobenius Kernels 189
4. Kempf's Vanishing Theorem 201
5. The Borel Bott Weil Theorem and Weyl's Character Formula 217
6. The Linkage Principle 231
7. The Translation Functors 251
8. Filtrations of Weyl Modules 267
9. Representations of GrT and GrB 291
10. Geometric Reductivity and Other Applications of the
Steinberg Modules 315
11. Injective Gr Modules 325
12. Cohomology of the Frobenius Kernels 343
13. Schubert Schemes 353
14. Line Bundles on Schubert Schemes 365
A. Truncated Categories and Schur Algebras 385
B. Results over the Integers 411
C. Lusztig's Conjecture and Some Consequences 419
V
vi CONTENTS
D. Radical Filtrations and Kazhdan Lusztig Polynomials 439
E. Tilting Modules 457
F. Frobenius Splitting 479
G. Frobenius Splitting and Good Filtrations 501
H. Representations of Quantum Groups 515
References 531
List of Notations 569
Index 573 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T14:50:32Z |
| indexdate | 2024-07-09T20:39:51Z |
| institution | BVB |
| isbn | 0821835270 9780821835272 9780821843772 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014826245 |
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| physical | xiii, 576 Seiten |
| publishDate | 2003 |
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| publishDateSort | 2003 |
| publisher | American Mathematical Society |
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| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Jantzen, Jens Carsten 1948- Verfasser (DE-588)108556190 aut Representations of algebraic groups Jens Carsten Jantzen Second edition Providence, Rhode Island American Mathematical Society [2003] © 2003 xiii, 576 Seiten txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs Volume 107 Hier auch später erschienene, unveränderte Nachdrucke Lineare algebraische Gruppe (DE-588)4295326-1 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Algebraische Gruppe (DE-588)4001164-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Lineare algebraische Gruppe (DE-588)4295326-1 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Algebraische Gruppe (DE-588)4001164-1 s Erscheint auch als Online-Ausgabe 978-1-4704-1334-7 Mathematical surveys and monographs Volume 107 (DE-604)BV000018014 107 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014826245&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jantzen, Jens Carsten 1948- Representations of algebraic groups Mathematical surveys and monographs Lineare algebraische Gruppe (DE-588)4295326-1 gnd Darstellungstheorie (DE-588)4148816-7 gnd Algebraische Gruppe (DE-588)4001164-1 gnd |
| subject_GND | (DE-588)4295326-1 (DE-588)4148816-7 (DE-588)4001164-1 (DE-588)4113937-9 |
| title | Representations of algebraic groups |
| title_auth | Representations of algebraic groups |
| title_exact_search | Representations of algebraic groups |
| title_exact_search_txtP | Representations of algebraic groups |
| title_full | Representations of algebraic groups Jens Carsten Jantzen |
| title_fullStr | Representations of algebraic groups Jens Carsten Jantzen |
| title_full_unstemmed | Representations of algebraic groups Jens Carsten Jantzen |
| title_short | Representations of algebraic groups |
| title_sort | representations of algebraic groups |
| topic | Lineare algebraische Gruppe (DE-588)4295326-1 gnd Darstellungstheorie (DE-588)4148816-7 gnd Algebraische Gruppe (DE-588)4001164-1 gnd |
| topic_facet | Lineare algebraische Gruppe Darstellungstheorie Algebraische Gruppe Hochschulschrift |
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