Representations of reductive groups

Roger W. Carter, Meinolf Josef Geck

Research output: Book/ReportBook

Abstract

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.
Original languageEnglish
Place of PublicationCambridge, United Kingdom
PublisherCambridge University Press
Number of pages191
ISBN (Print)0521643252, 978-0521643252
Publication statusPublished - 3 Sep 1998

Publication series

NamePublications of the Newton Institute
PublisherCambridge University Press

Fingerprint

Reductive Group
Algebraic Groups
Representation Theory
Finite Group
Intersection Cohomology
Character Formula
Abelian Category
Reflection Group
Derived Category
Group Algebra
Quantum Groups
Irreducible Representation
Lie Algebra
Subgroup

Cite this

Carter, R. W., & Geck, M. J. (1998). Representations of reductive groups. (Publications of the Newton Institute ). Cambridge, United Kingdom: Cambridge University Press.

Representations of reductive groups. / Carter, Roger W.; Geck, Meinolf Josef.

Cambridge, United Kingdom : Cambridge University Press, 1998. 191 p. (Publications of the Newton Institute ).

Research output: Book/ReportBook

Carter, RW & Geck, MJ 1998, Representations of reductive groups. Publications of the Newton Institute , Cambridge University Press, Cambridge, United Kingdom.
Carter RW, Geck MJ. Representations of reductive groups. Cambridge, United Kingdom: Cambridge University Press, 1998. 191 p. (Publications of the Newton Institute ).
Carter, Roger W. ; Geck, Meinolf Josef. / Representations of reductive groups. Cambridge, United Kingdom : Cambridge University Press, 1998. 191 p. (Publications of the Newton Institute ).
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