Representations of Reductive Groups by Roger W Carter

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Summary

The representation theory of reductive algebraic groups and related finite reductive groups is a subject of great topical interest. The articles in this volume come from a team of distinguished authors and together this volume provides a very accessible introduction to an important subject.

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Representations of Reductive Groups by Roger W Carter

The representation theory of reductive algebraic groups and related finite reductive groups 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 generalizations, 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. Brou , 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.
"It seems doubtful that a group of outstanding experts manages it to write survey articles which are carefully coordinated and support eachotherThis book proves impressively the practicability of such a project..." Monatshefte fur Math

Roger W. Carter is an emeritus professor at the University of Warwick. He defined Carter subgroups and wrote the standard reference Simple Groups of Lie Type.

SKU Unavailable
ISBN 13 9780521643252
ISBN 10 0521643252
Title Representations of Reductive Groups
Author Roger W Carter
Series Publications Of The Newton Institute
Condition Unavailable
Binding Type Hardback
Publisher Cambridge University Press
Year published 1998-09-03
Number of pages 200
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.