Robert Steinberg, Collected Papers

Robert Steinberg, Collected Papers

by Robert Steinberg, Jean P. Serre
     
 

ISBN-10: 0821805762

ISBN-13: 9780821805763

Pub. Date: 04/08/1997

Publisher: American Mathematical Society

This volume is a collection of papers by Robert Steinberg. It contains all of his published papers on group theory, including those on ''special representations'' (now called Steinberg representations), tensor products of representations, finite reflection groups, regular elements of algebraic groups, Galois cohomology, universal extensions, etc. At the end of the

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Overview

This volume is a collection of papers by Robert Steinberg. It contains all of his published papers on group theory, including those on ''special representations'' (now called Steinberg representations), tensor products of representations, finite reflection groups, regular elements of algebraic groups, Galois cohomology, universal extensions, etc. At the end of the book, there is a section called ''Comments on the Papers''. The comments by Steinberg explain how ideas and results have evolved and been used since they first appeared.

Product Details

ISBN-13:
9780821805763
Publisher:
American Mathematical Society
Publication date:
04/08/1997
Series:
Collected Works Series, #7
Pages:
599

Table of Contents

Foreword
Preface
Curriculum Vitae
Bibliography
1A geometric approach to the representations of the full linear group over a Galois field1
2The representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q)11
3Prime power representations of finite linear groups23
4Prime power representations of finite linear groups II35
5On the number of sides of a Petrie polygon41
6Eigenvalues of the unitary part of a matrix43
7Finite reflection groups53
8Variations on a theme of Chevalley65
9The simplicity of certain groups83
10Automorphisms of finite linear groups87
11Invariants of finite reflection groups97
12Automorphisms of classical Lie algebras101
13A general Clebsch-Gordan theorem113
14Generators for simple groups115
15A closure property of sets of vectors123
16Complete sets of representations of algebras131
17Generateurs, relations et revetements de groupes algebriques133
18Representations of algebraic groups149
19Differential equations invariant under finite reflection groups173
20Regular elements of semisimple algebraic groups183
21On the Galois cohomology of linear algebraic groups215
22Classes of elements of semisimple algebraic groups221
23Endomorphisms of linear algebraic groups229
24Algebraic groups and finite groups287
25Conjugacy classes, Seminar in algebraic groups and related finite groups293
26Abstract homomorphisms of simple algebraic groups (after A. Borel and J. Tits), Seminaire Bourbaki395
27Torsion in reductive groups415
28On a theorem of Pittie445
29On the desingularization of the unipotent variety451
30On theorems of Lie-Kolchin, Borel and Lang467
31Conjugacy in semisimple algebraic groups473
32Kleinian singularities and unipotent elements477
33Generators, relations and coverings of algebraic groups II483
34Finite subgroups of SU[subscript 2], Dynkin diagrams and affine Coxeter elements501
35Some consequences of the elementary relations of SL[subscript n]513
36Tensor product theorems521
37On Dickson's theorem on invariants529
38An occurrence of the Robinson-Schensted correspondence539
39Parabolic subgroups with Abelian unipotent radical545
40Nagata's example, in Algebraic groups and Lie groups569
Comments on the Papers579
Acknowledgements597

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