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

Hoffman, P. N.

ISBN 10: 0198535562 / ISBN 13: 9780198535560

Published by OUP Oxford, 1992

About this Item

The study of the symmetric groups forms one of the basic building blocks of modern group theory. This book presents information currently known on the projective representations of the symmetric and alternating groups. Special emphasis is placed on the theory of Q-functions and skew Q-functions. Series: Oxford Mathematical Monographs. Num Pages: 320 pages, line figures. BIC Classification: PBG; PBK. Category: (P) Professional & Vocational. Dimension: 243 x 163 x 23. Weight in Grams: 647. . 1992. Illustrated. paperback. . . . . Books ship from the US and Ireland.

Seller Inventory # V9780198535560

Bibliographic Details

• Title: Projective Representations of the Symmetric Groups: ^IQ^R-Functions and Shifted Tableaux (Oxford Mathematical Monographs)
• Publisher: OUP Oxford
• Publication Date: 1992
• Language: English
• ISBN 10: 0198535562
• ISBN 13: 9780198535560
• Binding: Soft cover
• Condition: New

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.