Projective representations of the symmetric groups : Q-functions and shifted tableaux /
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...
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Oxford : New York :
Clarendon Press ; Oxford University Press,
1992
Oxford : Oxford ; New York : Clarendon Press ; Oxford University Press , 1992 Oxford : New York : Clarendon Press; Oxford University Press, 1992 Oxford : New York : Clarendon Press; Oxford, 1992 Oxford : New York : ©1992 Oxford : New York : 1992 |
| Series: | Oxford mathematical monographs
Oxford mathematical monographs Oxford mathematical monographs Oxford science publications |
| Subjects: |
| Summary: | 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 |
|---|---|
| Physical Description: | 304 p ix, 304 p. : ill. ; 24 cm ix, 304 p. ; 25 cm ix, 304 pages : illustrations ; 24 cm ix, 304 pages : illustrations ; 25 cm ix, 304 pages ; 24 cm |
| Bibliography: | Includes bibliographical references (p. 282-288) and index Includes bibliographical references (p. 282-288) and indexes Includes bibliographical references and index |
| ISBN: | 0198535562 : 0198535562 9780198535560 |