Projective Representations of the Symmetric Groups: Q-Functions and Shifted Tableaux (Oxford Mathematical Monographs) - Softcover

Hoffman, P. N.; Humphreys, J. F.

Softcover

ISBN 10: 0198535562 ISBN 13: 9780198535560

Publisher: Clarendon Press, 1992

Synopsis

The study of the symmetric groups forms one of the basic building blocks of modern group theory. This book is the first completely detailed and self-contained presentation of the wealth of information now known on the projective representations of the symmetric and alternating groups. Prerequisites are a basic familiarity with the elementary theory of linear representations and a modest background in modern algebra. The authors have taken pains to ensure that all the relevant algebraic and combinatoric tools are clearly explained in such a way as to make the book suitable for graduate students and research workers. After the pioneering work of Schur, little progress was made for half a century on projective representations, despite considerable activity on the related topic of linear representations. However, in the last twenty years, important new advances have spurred further research. This book develops both the early theory of Schur and then describes the key advances that the subject has seen since then. In particular, the theory of Q-functions and skew Q-functions is extensively covered which is central to the development of the subject.

About this title

About the Author

P. N. Hoffman is at University of Waterloo. J. F. Humphreys is at University of Liverpool.

Review

"This is the first monograph to deal with the projective representations of the symmetric groups and thus it cetainly fills a regretable gap in the literature. . . . carefully written and most parts are fairly easy to read." --Jorn B. Olsson, Mathematical Reviews

Edition details

• Publisher: Clarendon Press
• Publication date: 1992
• ISBN 10: 0198535562
• ISBN 13: 9780198535560
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 320