The Representation Theory of the Symmetric Group

James

doi:10.1017/CBO9781107340732

The Representation Theory of the Symmetric Group provides an account of both the ordinary and modular representation theory of the symmetric groups. The range of applications of this theory is vast, varying from theoretical physics, through combinatories to the study of polynomial identity algebras; and new uses are still being found.

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Contents

Frontmatter
pp i-vi
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Contents
pp vii-x
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Editor's Statement
pp xi-xii
- By Gian-Carlo Rota
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Section Editor's Foreword
pp xiii-xvi
- By P. M. Cohn
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Introduction by G. de B. Robinson
pp xvii-xx
- By G. de B. Robinson
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Preface
pp xxi-xxii
- By G. D. James, A. Kerber
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List of Symbols
pp xxiii-xxviii
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The Representation Theory of the Symmetric Group
pp xxix-xxx
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Chapter 1 - Symmetric Groups and Their Young Subgroups
pp 1-33
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Chapter 2 - Ordinary Irreducible Representations and Characters of Symmetric and Alternating Groups
pp 34-100
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Chapter 3 - Ordinary Irreducible Matrix Representations of Symmetric Groups
pp 101-131
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Chapter 4 - Representations of Wreath Products
pp 132-161
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Chapter 5 - Applications to Combinatorics and Representation Theory
pp 162-239
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Chapter 6 - Modular Representations
pp 240-293
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Chapter 7 - Representation Theory of Sn over an Arbitrary Field
pp 294-318
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Chapter 8 - Representations of General Linear Groups
pp 319-347
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Appendix I - Tables
pp 348-458
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Appendix II - Notes and References
pp 459-506
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Index
pp 507-510
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The Representation Theory of the Symmetric Group

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Contents

Frontmatter
pp i-vi

Contents
pp vii-x

Editor's Statement
pp xi-xii

Section Editor's Foreword
pp xiii-xvi

Introduction by G. de B. Robinson
pp xvii-xx

Preface
pp xxi-xxii

List of Symbols
pp xxiii-xxviii

The Representation Theory of the Symmetric Group
pp xxix-xxx

Chapter 1 - Symmetric Groups and Their Young Subgroups
pp 1-33

Chapter 2 - Ordinary Irreducible Representations and Characters of Symmetric and Alternating Groups
pp 34-100

Chapter 3 - Ordinary Irreducible Matrix Representations of Symmetric Groups
pp 101-131

Chapter 4 - Representations of Wreath Products
pp 132-161

Chapter 5 - Applications to Combinatorics and Representation Theory
pp 162-239

Chapter 6 - Modular Representations
pp 240-293

Chapter 7 - Representation Theory of Sn over an Arbitrary Field
pp 294-318

Chapter 8 - Representations of General Linear Groups
pp 319-347

Appendix I - Tables
pp 348-458

Appendix II - Notes and References
pp 459-506

Index
pp 507-510

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