Representation theory of finite reductive groups

Representation theory of finite reductive groups / Marc Cabanes, Michel Enguehard.

Cabanes and Enguehard blend 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. Three main themes are evident: first, applications of étale cohomology; second, the Dipper-James theorems; finally, loca...

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Bibliographic Details
Main Author: Cabanes, Marc, 1959-
Other Authors: Enguehard, Michel
Format: eBook
Language:English
Published: Cambridge, UK ; New York : Cambridge University Press, 2004.
Series:New mathematical monographs ; 1.
Subjects:
Finite groups.
Representations of groups.
MATHEMATICS > Group Theory.
Finite groups
Representations of groups
Endliche Gruppe
Darstellungstheorie
Reductieve groepen.
Representatie (wiskunde)
Online Access:Click for online access
Table of Contents:
  • 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.

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