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Representation Theory of Finite Reductive Groups

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Representation Theory of Finite Reductive Groups Synopsis

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.

About This Edition

ISBN: 9780521825177
Publication date:
Author: Marc Université de Paris VII Denis Diderot Cabanes, Michel Université de Paris VII Denis Diderot Enguehard
Publisher: Cambridge University Press
Format: Hardback
Pagination: 456 pages
Series: New Mathematical Monographs
Genres: Groups and group theory