Representations of SL2(Fq)

Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the general setting. This book focuses on the smallest non-trivial ex...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Bonnafé, Cédric (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: London : Springer London : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Algebra and Applications, 13
Subjects:
Algebra.
Algebraic geometry.
Group theory.
Algebraic Geometry.
Group Theory and Generalizations.
Online Access:Texto Completo
Table of Contents:
  • Part I Preliminaries
  • Structure of SL2(Fq)
  • The Geometry of the Drinfeld Curve
  • Part II Ordinary Characters
  • Harish-Chandra Induction
  • Deligne-Lusztig Induction
  • The Character Table
  • Part III Modular Representations
  • More about Characters of G and of its Sylow Subgroups
  • Unequal Characteristic: Generalities
  • Unequal Characteristic: Equivalences of Categories
  • Unequal Characteristic: Simple Modules, Decomposition Matrices
  • Equal Characteristic
  • Part IV Complements
  • Special Cases
  • Deligne-Lusztig Theory: an Overview
  • Part V Appendices
  • A l-Adic Cohomology
  • B Block Theory
  • C Review of Reflection Groups.

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