Representations of Reductive Groups

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Hardcover | 2 November 1998

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200 Pages

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22.86 x 15.24 x 1.6

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The representation theory of reductive algebraic groups and related finite reductive groups is a subject of great topical interest and has many applications. The articles in this volume provide introductions to various aspects of the subject, including algebraic groups and Lie algebras, reflection groups, abelian and derived categories, the Deligne-Lusztig representation theory of finite reductive groups, Harish-Chandra theory and its generalisations, quantum groups, subgroup structure of algebraic groups, intersection cohomology, and Lusztig's conjectured character formula for irreducible representations in prime characteristic. The articles are carefully designed to reinforce one another, and are written by a team of distinguished authors: M. Broue, R. W. Carter, S. Donkin, M. Geck, J. C. Jantzen, B. Keller, M. W. Liebeck, G. Malle, J. C. Rickard and R. Rouquier. This volume as a whole should provide a very accessible introduction to an important, though technical, subject.

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"It seems doubtful that a group of outstanding experts manages it to write survey articles which are carefully coordinated and support eachother. This book proves impressively the practicability of such a project..." Monatshefte fur Math

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Introduction to algebraic groups and Lie algebras
Weyl groups, affine Weyl groups, and reflection groups
Introduction to abelian and derived categories
Finite groups of Lie type
Generalized Harish-Chandra theory
Introduction to quantum groups
Introduction to the subgroup structure of algebraic groups
Introduction to intersection cohomology
Introduction to Lusztig's Conjecture
Table of Contents provided by Publisher. All Rights Reserved.

Representations of Reductive Groups

At a Glance

Hardcover

Industry Reviews

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