Published online by Cambridge University Press: 05 December 2015
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]).
To save this book to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
Find out more about the Kindle Personal Document Service.
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 Dropbox.
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.