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Appendix II - Notes and References

Published online by Cambridge University Press:  05 December 2015

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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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Publisher: Cambridge University Press
Print publication year: 1984

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  • Notes and References
  • James
  • Book: The Representation Theory of the Symmetric Group
  • Online publication: 05 December 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781107340732.015
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  • Notes and References
  • James
  • Book: The Representation Theory of the Symmetric Group
  • Online publication: 05 December 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781107340732.015
Available formats
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Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Notes and References
  • James
  • Book: The Representation Theory of the Symmetric Group
  • Online publication: 05 December 2015
  • Chapter DOI: https://doi.org/10.1017/CBO9781107340732.015
Available formats
×