Representations of Reductive Groups (Publications of the Newton Institute, Series Number 16) 1st Edition by Roger W. Carter (PDF)

Description

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. 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.

User’s Reviews

Editorial Reviews: Review “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 Book Description This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.

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