
Representation theory of finite reductive groups
Marc Cabanes, Michel Enguehard - Collection New Mathematical Monographs
Résumé
At the crossroads of representation theory, algebraic geometry and finite group theory, this book blends together many of the main concerns of modern algebra, synthesising the past 25 years of research, 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.
Sommaire
- Introduction
- Notations and conventions
- Representing Finite BN-Pairs
- Deligne-Lusztig Varieties, Rational Series, and Morita Equivalences
- Unipotent Characters and Unipotent Blocks
- Decomposition Numbers and q-Schur Algebras
- References
- Index
Caractéristiques techniques
PAPIER | |
Éditeur(s) | Cambridge University Press |
Auteur(s) | Marc Cabanes, Michel Enguehard |
Collection | New Mathematical Monographs |
Parution | 15/01/2004 |
Nb. de pages | 454 |
Format | 16 x 23,5 |
Couverture | Relié |
Poids | 954g |
Intérieur | Noir et Blanc |
EAN13 | 9780521825177 |
ISBN13 | 978-0-521-82517-7 |
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