Finite Reductive Groups: Related Structures and Representations: Proceedings of an International Conference held in Luminy, France
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
1997
|
| Schriftenreihe: | Progress in Mathematics
141 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Finite reductive groups and their representations lie at the heart of goup theory. After representations of finite general linear groups were determined by Green (1955), the subject was revolutionized by the introduction of constructions from l-adic cohomology by Deligne-Lusztig (1976) and by the approach of character-sheaves by Lusztig (1985). The theory now also incorporates the methods of Brauer for the linear representations of finite groups in arbitrary characteristic and the methods of representations of algebras. It has become one of the most active fields of contemporary mathematics. The present volume reflects the richness of the work of experts gathered at an international conference held in Luminy. Linear representations of finite reductive groups (Aubert, Curtis-Shoji, Lehrer, Shoji) and their modular aspects Cabanes Enguehard, Geck-Hiss) go side by side with many related structures: Hecke algebras associated with Coxeter groups (Ariki, Geck-Rouquier, Pfeiffer), complex reflection groups (Broué-Michel, Malle), quantum groups and Hall algebras (Green), arithmetic groups (Vignéras), Lie groups (Cohen-Tiep), symmetric groups (Bessenrodt-Olsson), and general finite groups (Puig). With the illuminating introduction by Paul Fong, the present volume forms the best invitation to the field |
| Beschreibung: | 1 Online-Ressource (XII, 452 p) |
| ISBN: | 9781461241249 9781461286646 |
| DOI: | 10.1007/978-1-4612-4124-9 |
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| 500 | |a Finite reductive groups and their representations lie at the heart of goup theory. After representations of finite general linear groups were determined by Green (1955), the subject was revolutionized by the introduction of constructions from l-adic cohomology by Deligne-Lusztig (1976) and by the approach of character-sheaves by Lusztig (1985). The theory now also incorporates the methods of Brauer for the linear representations of finite groups in arbitrary characteristic and the methods of representations of algebras. It has become one of the most active fields of contemporary mathematics. The present volume reflects the richness of the work of experts gathered at an international conference held in Luminy. Linear representations of finite reductive groups (Aubert, Curtis-Shoji, Lehrer, Shoji) and their modular aspects Cabanes Enguehard, Geck-Hiss) go side by side with many related structures: Hecke algebras associated with Coxeter groups (Ariki, Geck-Rouquier, Pfeiffer), complex reflection groups (Broué-Michel, Malle), quantum groups and Hall algebras (Green), arithmetic groups (Vignéras), Lie groups (Cohen-Tiep), symmetric groups (Bessenrodt-Olsson), and general finite groups (Puig). With the illuminating introduction by Paul Fong, the present volume forms the best invitation to the field | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Cabanes, Marc |
| author_facet | Cabanes, Marc |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-4124-9 |
| format | Electronic eBook |
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| id | DE-604.BV042420221 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461241249 9781461286646 |
| language | English |
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| spelling | Cabanes, Marc Verfasser aut Finite Reductive Groups: Related Structures and Representations Proceedings of an International Conference held in Luminy, France edited by Marc Cabanes Boston, MA Birkhäuser Boston 1997 1 Online-Ressource (XII, 452 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 141 Finite reductive groups and their representations lie at the heart of goup theory. After representations of finite general linear groups were determined by Green (1955), the subject was revolutionized by the introduction of constructions from l-adic cohomology by Deligne-Lusztig (1976) and by the approach of character-sheaves by Lusztig (1985). The theory now also incorporates the methods of Brauer for the linear representations of finite groups in arbitrary characteristic and the methods of representations of algebras. It has become one of the most active fields of contemporary mathematics. The present volume reflects the richness of the work of experts gathered at an international conference held in Luminy. Linear representations of finite reductive groups (Aubert, Curtis-Shoji, Lehrer, Shoji) and their modular aspects Cabanes Enguehard, Geck-Hiss) go side by side with many related structures: Hecke algebras associated with Coxeter groups (Ariki, Geck-Rouquier, Pfeiffer), complex reflection groups (Broué-Michel, Malle), quantum groups and Hall algebras (Green), arithmetic groups (Vignéras), Lie groups (Cohen-Tiep), symmetric groups (Bessenrodt-Olsson), and general finite groups (Puig). With the illuminating introduction by Paul Fong, the present volume forms the best invitation to the field Mathematics Geometry, algebraic Algebra Group theory Group Theory and Generalizations Associative Rings and Algebras Algebraic Geometry Mathematik https://doi.org/10.1007/978-1-4612-4124-9 Verlag Volltext |
| spellingShingle | Cabanes, Marc Finite Reductive Groups: Related Structures and Representations Proceedings of an International Conference held in Luminy, France Mathematics Geometry, algebraic Algebra Group theory Group Theory and Generalizations Associative Rings and Algebras Algebraic Geometry Mathematik |
| title | Finite Reductive Groups: Related Structures and Representations Proceedings of an International Conference held in Luminy, France |
| title_auth | Finite Reductive Groups: Related Structures and Representations Proceedings of an International Conference held in Luminy, France |
| title_exact_search | Finite Reductive Groups: Related Structures and Representations Proceedings of an International Conference held in Luminy, France |
| title_full | Finite Reductive Groups: Related Structures and Representations Proceedings of an International Conference held in Luminy, France edited by Marc Cabanes |
| title_fullStr | Finite Reductive Groups: Related Structures and Representations Proceedings of an International Conference held in Luminy, France edited by Marc Cabanes |
| title_full_unstemmed | Finite Reductive Groups: Related Structures and Representations Proceedings of an International Conference held in Luminy, France edited by Marc Cabanes |
| title_short | Finite Reductive Groups: Related Structures and Representations |
| title_sort | finite reductive groups related structures and representations proceedings of an international conference held in luminy france |
| title_sub | Proceedings of an International Conference held in Luminy, France |
| topic | Mathematics Geometry, algebraic Algebra Group theory Group Theory and Generalizations Associative Rings and Algebras Algebraic Geometry Mathematik |
| topic_facet | Mathematics Geometry, algebraic Algebra Group theory Group Theory and Generalizations Associative Rings and Algebras Algebraic Geometry Mathematik |
| url | https://doi.org/10.1007/978-1-4612-4124-9 |
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