Representation theory of finite reductive groups:
At the crossroads of representation theory, algebraic geometry and finite group theory, this 2004 book blends together many of the main concerns of modern algebra, with full proofs of some of the most remarkable achievements in the area. Cabanes and Enguehard follow three main themes: first, applica...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2004
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| Schriftenreihe: | New mathematical monographs
1 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | At the crossroads of representation theory, algebraic geometry and finite group theory, this 2004 book blends together many of the main concerns of modern algebra, with full proofs of some of the most remarkable achievements in the area. Cabanes and Enguehard follow three main themes: first, applications of étale cohomology, leading to the proof of the recent Bonnafé–Rouquier theorems. The second is a straightforward and simplified account of the Dipper–James theorems relating irreducible characters and modular representations. The final theme is local representation theory. One of the main results here is the authors' version of Fong–Srinivasan theorems. Throughout the text is illustrated by many examples and background is provided by several introductory chapters on basic results and appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and reference for all algebraists |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xvii, 436 pages) |
| ISBN: | 9780511542763 |
| DOI: | 10.1017/CBO9780511542763 |
Internformat
MARC
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| 100 | 1 | |a Cabanes, Marc |d 1959- |e Verfasser |0 (DE-588)114937419 |4 aut | |
| 245 | 1 | 0 | |a Representation theory of finite reductive groups |c Marc Cabanes, Michel Enguehard |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2004 | |
| 300 | |a 1 online resource (xvii, 436 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a New mathematical monographs |v 1 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | 0 | |g pt. I. |t Representing Finite BN-Pairs |g 1 |t Cuspidality in finite groups |g 2 |t Finite BN-pairs |g 3 |t Modular Hecke algebras for finite BN-pairs |g 4 |t The modular duality functor and derived category |g 5 |t Local methods for the transversal characteristics |g 6 |t Simple modules in the natural characteristic |g pt. II. |t Deligne-Lusztig Varieties, Rational Series, and Morita Equivalences |g 7 |t Finite reductive groups and Deligne -Lusztig varieties |g 8 |t Characters of finite reductive groups |g 9 |t Blocks of finite reductive groups and rational series |g 10 |t Jordan decomposition as a Morita equivalence: the main reductions |g 11 |t Jordan decomposition as a Morita equivalence: sheaves |
| 520 | |a At the crossroads of representation theory, algebraic geometry and finite group theory, this 2004 book blends together many of the main concerns of modern algebra, with full proofs of some of the most remarkable achievements in the area. Cabanes and Enguehard follow three main themes: first, applications of étale cohomology, leading to the proof of the recent Bonnafé–Rouquier theorems. The second is a straightforward and simplified account of the Dipper–James theorems relating irreducible characters and modular representations. The final theme is local representation theory. One of the main results here is the authors' version of Fong–Srinivasan theorems. Throughout the text is illustrated by many examples and background is provided by several introductory chapters on basic results and appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and reference for all algebraists | ||
| 650 | 4 | |a Finite groups | |
| 650 | 4 | |a Representations of groups | |
| 650 | 0 | 7 | |a Darstellungstheorie |0 (DE-588)4148816-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Endliche Gruppe |0 (DE-588)4014651-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Endliche Gruppe |0 (DE-588)4014651-0 |D s |
| 689 | 0 | 1 | |a Darstellungstheorie |0 (DE-588)4148816-7 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Enguehard, Michel |e Sonstige |0 (DE-588)141639679 |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-0-521-82517-7 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9780511542763 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
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Datensatz im Suchindex
| _version_ | 1804176883678445568 |
|---|---|
| any_adam_object | |
| author | Cabanes, Marc 1959- |
| author_GND | (DE-588)114937419 (DE-588)141639679 |
| author_facet | Cabanes, Marc 1959- |
| author_role | aut |
| author_sort | Cabanes, Marc 1959- |
| author_variant | m c mc |
| building | Verbundindex |
| bvnumber | BV043941644 |
| classification_rvk | SK 260 |
| collection | ZDB-20-CBO |
| contents | Representing Finite BN-Pairs Cuspidality in finite groups Finite BN-pairs Modular Hecke algebras for finite BN-pairs The modular duality functor and derived category Local methods for the transversal characteristics Simple modules in the natural characteristic Deligne-Lusztig Varieties, Rational Series, and Morita Equivalences Finite reductive groups and Deligne -Lusztig varieties Characters of finite reductive groups Blocks of finite reductive groups and rational series Jordan decomposition as a Morita equivalence: the main reductions Jordan decomposition as a Morita equivalence: sheaves |
| ctrlnum | (ZDB-20-CBO)CR9780511542763 (OCoLC)850143586 (DE-599)BVBBV043941644 |
| dewey-full | 512/.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.2 |
| dewey-search | 512/.2 |
| dewey-sort | 3512 12 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511542763 |
| format | Electronic eBook |
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| id | DE-604.BV043941644 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511542763 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350614 |
| oclc_num | 850143586 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvii, 436 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | New mathematical monographs |
| spelling | Cabanes, Marc 1959- Verfasser (DE-588)114937419 aut Representation theory of finite reductive groups Marc Cabanes, Michel Enguehard Cambridge Cambridge University Press 2004 1 online resource (xvii, 436 pages) txt rdacontent c rdamedia cr rdacarrier New mathematical monographs 1 Title from publisher's bibliographic system (viewed on 05 Oct 2015) pt. I. Representing Finite BN-Pairs 1 Cuspidality in finite groups 2 Finite BN-pairs 3 Modular Hecke algebras for finite BN-pairs 4 The modular duality functor and derived category 5 Local methods for the transversal characteristics 6 Simple modules in the natural characteristic pt. II. Deligne-Lusztig Varieties, Rational Series, and Morita Equivalences 7 Finite reductive groups and Deligne -Lusztig varieties 8 Characters of finite reductive groups 9 Blocks of finite reductive groups and rational series 10 Jordan decomposition as a Morita equivalence: the main reductions 11 Jordan decomposition as a Morita equivalence: sheaves At the crossroads of representation theory, algebraic geometry and finite group theory, this 2004 book blends together many of the main concerns of modern algebra, with full proofs of some of the most remarkable achievements in the area. Cabanes and Enguehard follow three main themes: first, applications of étale cohomology, leading to the proof of the recent Bonnafé–Rouquier theorems. The second is a straightforward and simplified account of the Dipper–James theorems relating irreducible characters and modular representations. The final theme is local representation theory. One of the main results here is the authors' version of Fong–Srinivasan theorems. Throughout the text is illustrated by many examples and background is provided by several introductory chapters on basic results and appendices on algebraic geometry and derived categories. The result is an essential introduction for graduate students and reference for all algebraists Finite groups Representations of groups Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 s Darstellungstheorie (DE-588)4148816-7 s 1\p DE-604 Enguehard, Michel Sonstige (DE-588)141639679 oth Erscheint auch als Druckausgabe 978-0-521-82517-7 https://doi.org/10.1017/CBO9780511542763 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cabanes, Marc 1959- Representation theory of finite reductive groups Representing Finite BN-Pairs Cuspidality in finite groups Finite BN-pairs Modular Hecke algebras for finite BN-pairs The modular duality functor and derived category Local methods for the transversal characteristics Simple modules in the natural characteristic Deligne-Lusztig Varieties, Rational Series, and Morita Equivalences Finite reductive groups and Deligne -Lusztig varieties Characters of finite reductive groups Blocks of finite reductive groups and rational series Jordan decomposition as a Morita equivalence: the main reductions Jordan decomposition as a Morita equivalence: sheaves Finite groups Representations of groups Darstellungstheorie (DE-588)4148816-7 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4148816-7 (DE-588)4014651-0 |
| title | Representation theory of finite reductive groups |
| title_alt | Representing Finite BN-Pairs Cuspidality in finite groups Finite BN-pairs Modular Hecke algebras for finite BN-pairs The modular duality functor and derived category Local methods for the transversal characteristics Simple modules in the natural characteristic Deligne-Lusztig Varieties, Rational Series, and Morita Equivalences Finite reductive groups and Deligne -Lusztig varieties Characters of finite reductive groups Blocks of finite reductive groups and rational series Jordan decomposition as a Morita equivalence: the main reductions Jordan decomposition as a Morita equivalence: sheaves |
| title_auth | Representation theory of finite reductive groups |
| title_exact_search | Representation theory of finite reductive groups |
| title_full | Representation theory of finite reductive groups Marc Cabanes, Michel Enguehard |
| title_fullStr | Representation theory of finite reductive groups Marc Cabanes, Michel Enguehard |
| title_full_unstemmed | Representation theory of finite reductive groups Marc Cabanes, Michel Enguehard |
| title_short | Representation theory of finite reductive groups |
| title_sort | representation theory of finite reductive groups |
| topic | Finite groups Representations of groups Darstellungstheorie (DE-588)4148816-7 gnd Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Finite groups Representations of groups Darstellungstheorie Endliche Gruppe |
| url | https://doi.org/10.1017/CBO9780511542763 |
| work_keys_str_mv | AT cabanesmarc representationtheoryoffinitereductivegroups AT enguehardmichel representationtheoryoffinitereductivegroups |