Book contents
- Frontmatter
- Contents
- Editor's Statement
- Section Editor's Foreword
- Introduction by G. de B. Robinson
- Preface
- List of Symbols
- The Representation Theory of the Symmetric Group
- Chapter 1 Symmetric Groups and Their Young Subgroups
- Chapter 2 Ordinary Irreducible Representations and Characters of Symmetric and Alternating Groups
- Chapter 3 Ordinary Irreducible Matrix Representations of Symmetric Groups
- Chapter 4 Representations of Wreath Products
- Chapter 5 Applications to Combinatorics and Representation Theory
- Chapter 6 Modular Representations
- Chapter 7 Representation Theory of Sn over an Arbitrary Field
- Chapter 8 Representations of General Linear Groups
- Appendix I Tables
- Appendix II Notes and References
- Index
Editor's Statement
Published online by Cambridge University Press: 05 December 2015
- Frontmatter
- Contents
- Editor's Statement
- Section Editor's Foreword
- Introduction by G. de B. Robinson
- Preface
- List of Symbols
- The Representation Theory of the Symmetric Group
- Chapter 1 Symmetric Groups and Their Young Subgroups
- Chapter 2 Ordinary Irreducible Representations and Characters of Symmetric and Alternating Groups
- Chapter 3 Ordinary Irreducible Matrix Representations of Symmetric Groups
- Chapter 4 Representations of Wreath Products
- Chapter 5 Applications to Combinatorics and Representation Theory
- Chapter 6 Modular Representations
- Chapter 7 Representation Theory of Sn over an Arbitrary Field
- Chapter 8 Representations of General Linear Groups
- Appendix I Tables
- Appendix II Notes and References
- Index
Summary
A large body of mathematics consists of facts that can be presented and described much like any other natural phenomenon. These facts, at times explicitly brought out as theorems, at other times concealed within a proof, make up most of the applications of mathematics, and are the most likely to survive change of style and of interest.
This ENCYCLOPEDIA will attempt to present the factual body of all mathematics. Clarity of exposition, accessibility to the non-specialist, and a thorough bibliography are required of each author. Volumes will appear in no particular order, but will be organized into Sections, each one comprising a recognizable branch of present-day mathematics. Numbers of volumes and sections will be reconsidered as times and needs change.
It is hoped that this enterprise will make mathematics more widely used where it is needed, and more accessible in fields in which it can be applied but where it has not yet penetrated because of insufficient information.
- Type
- Chapter
- Information
- The Representation Theory of the Symmetric Group , pp. xi - xiiPublisher: Cambridge University PressPrint publication year: 1984