Overview

This volume contains articles by 20 leading workers in the field of algebraic groups and related finite groups. Articles on representation theory are written by Andersen on tilting modules, Carter on canonical bases, Cline, Parshall and Scott on endomorphism algebras, James and Kleschev on the symmetric group, Littelmann on the path model, Lusztig on homology bases, McNinch on semisimplicity in prime characteristic, Robinson on block theory, Scott on Lusztig's character formula, and Tanisaki on highest weight modules. Articles on subgroup structure are written by Setz and Brundan on double cosets, Liebeck on exceptional groups, Saxl on subgroups containing special elements, and Guralnick on applications of subgroup structure. Steinberg gives a new, short proof of the isomorphism and isogeny theorems for reductive groups. Aschbaker discusses the classification of quasithin groups and Borovik the classification of groups of finite Morley rank.

Full Product Details

Author:   R.W. Carter ,  J. Saxl
Publisher:   Springer
Imprint:   Springer
Edition:   1998 ed.
Volume:   517
Dimensions:   Width: 15.50cm , Height: 2.20cm , Length: 23.50cm
Weight:   1.610kg
ISBN:  

9780792352518

ISBN 10:   0792352513
Pages:   374
Publication Date:   31 August 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Linear and nonlinear group actions, and the Newton Institute program.- Tilting modules for algebraic groups.- Semisimplicity in positive characteristic.- Homology bases arising from reductive groups over a finite field.- Highest weight modules associated to parabolic subgroups with commutative unipotent radicals.- Symmetric groups and Schur algebras.- Branching rules for symmetric groups and applications.- Endomorphism algebras and representation theory.- Representations of simple Lie algebras: modern variations on a classical theme.- The path model, the quantum Frobenius map and standard monomial theory.- Arithmetical properties of blocks.- The isomorphism and isogeny theorems for reductive algebraic groups.- Double cosets in algebraic groups.- Dense orbits and double cosets.- Subgroups of exceptional groups.- Overgroups of special elements in simple algebraic groups and finite groups of Lie type.- Some applications of subgroup structure to probabilistic generation and covers of curves.- Quasithin groups.- Tame groups of odd and even type.

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