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

Hoffman, P. N.

ISBN 10: 0198535562 / ISBN 13: 9780198535560

Published by Clarendon Press, 1992

About this Item

This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In poor condition, suitable as a reading copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:0198535562.

Seller Inventory # 4314109

Bibliographic Details

• Title: Projective Representations of the Symmetric Groups: Q-Functions and Shifted Tableaux (Oxford Mathematical Monographs)
• Publisher: Clarendon Press
• Publication Date: 1992
• Language: English
• ISBN 10: 0198535562
• ISBN 13: 9780198535560
• Binding: Hardcover
• Condition: Poor
• Seller catalogs:
  • Mathematics

About this title

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 the Author

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