Representation theory of finite reductive groups

Marc Cabanes, Michel Enguehard - Collection New Mathematical Monographs

454 pages, parution le 15/01/2004

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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

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	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