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
Appendix II - Notes and References
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
The intention of this appendix is to provide a guide to the literature on representations of symmetric groups and related series of groups. Since the literature on this subject is so vast, we can by no means claim to be complete, but we try to help the reader find further interesting results and problems.
We emphasize the references to results published after the appearance of the book by G. de B. Robinson in 1961, for that book contains a nearly complete bibliography up to the date of its publication. We also point out the bibliography given in Boerner [1967], where the literature until 1967 is gathered.
Books and Lecture Notes
In the first place we list the books and the lecture notes which are mainly concerned with representation theory of symmetric groups and closely related topics and give a short comment concerning their content.
The first book which contained most of the results known at the time on the representation theory of Sn was Murnaghan [1938c], which deals mainly with characters and their evaluation.
Then came Rutherford's book [1948], which was the first to be totally devoted to Sn. This book covers the main results of Young on the ordinary irreducible representations of Sn, in particular their matrix forms. It is easy to read, in contrast to Young's original papers, which can be found in the Mathematical Expositions series of the University of Toronto Press (No. 21, edited by G. de B. Robinson [1977]).
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- The Representation Theory of the Symmetric Group , pp. 459 - 506Publisher: Cambridge University PressPrint publication year: 1984