Robert Steinberg, Collected Papers

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Brand new. We distribute directly for the publisher. 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. Read more Show Less

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Condition: New
Brand new. We distribute directly for the publisher. 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. Read more Show Less

Ships from: Boonsboro, MD

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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.

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Editorial Reviews

Booknews
Comprises a collection of most of the published papers of mathematician Robert Steinberg, reproduced directly from the journals in which they first appeared. It contains all his published papers on group theory, including those on "special representation" now called Steinberg representations, tensor products of representations, finite reflection groups, regular elements of algebraic groups, Galois cohomology, universal extensions, and other topics. In a final section of the volume, Steinberg explains how ideas and results have evolved and been used since they first appeared. Lacks an index. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780821805763
  • Publisher: American Mathematical Society
  • Publication date: 4/8/1997
  • Series: Collected Works Series , #7
  • Pages: 599

Table of Contents

Foreword
Preface
Curriculum Vitae
Bibliography
1 A geometric approach to the representations of the full linear group over a Galois field 1
2 The representations of GL(3,q), GL(4,q), PGL(3,q), and PGL(4,q) 11
3 Prime power representations of finite linear groups 23
4 Prime power representations of finite linear groups II 35
5 On the number of sides of a Petrie polygon 41
6 Eigenvalues of the unitary part of a matrix 43
7 Finite reflection groups 53
8 Variations on a theme of Chevalley 65
9 The simplicity of certain groups 83
10 Automorphisms of finite linear groups 87
11 Invariants of finite reflection groups 97
12 Automorphisms of classical Lie algebras 101
13 A general Clebsch-Gordan theorem 113
14 Generators for simple groups 115
15 A closure property of sets of vectors 123
16 Complete sets of representations of algebras 131
17 Generateurs, relations et revetements de groupes algebriques 133
18 Representations of algebraic groups 149
19 Differential equations invariant under finite reflection groups 173
20 Regular elements of semisimple algebraic groups 183
21 On the Galois cohomology of linear algebraic groups 215
22 Classes of elements of semisimple algebraic groups 221
23 Endomorphisms of linear algebraic groups 229
24 Algebraic groups and finite groups 287
25 Conjugacy classes, Seminar in algebraic groups and related finite groups 293
26 Abstract homomorphisms of simple algebraic groups (after A. Borel and J. Tits), Seminaire Bourbaki 395
27 Torsion in reductive groups 415
28 On a theorem of Pittie 445
29 On the desingularization of the unipotent variety 451
30 On theorems of Lie-Kolchin, Borel and Lang 467
31 Conjugacy in semisimple algebraic groups 473
32 Kleinian singularities and unipotent elements 477
33 Generators, relations and coverings of algebraic groups II 483
34 Finite subgroups of SU[subscript 2], Dynkin diagrams and affine Coxeter elements 501
35 Some consequences of the elementary relations of SL[subscript n] 513
36 Tensor product theorems 521
37 On Dickson's theorem on invariants 529
38 An occurrence of the Robinson-Schensted correspondence 539
39 Parabolic subgroups with Abelian unipotent radical 545
40 Nagata's example, in Algebraic groups and Lie groups 569
Comments on the Papers 579
Acknowledgements 597
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