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  1. Home
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  3. Representations of Reductive Groups
  • Cited by 1
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
1998
Online ISBN:
9780511600623
DOI:
https://doi.org/10.1017/CBO9780511600623
Subjects:
Mathematics, Mathematical Physics, Algebra
Series:
Publications of the Newton Institute (16)
Information

Book description

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. Broué, 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.

Reviews

"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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