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Linear and Projective Representations of Symmetric Groups.
・ISBN 978-0-521-83703-3 hard GB£ 121.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-54280-0
| 著者・編者 | Kleshchev, Alexander, |
|---|---|
| シリーズ | Cambridge Tracts in Mathematics |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2005 |
| ページ数 | 292 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10180＞ |
解説
The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics such as combinatories, Lie theory and algebraic geometry. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own. Much of this work has previously appeared only in the research literature. However to make it accessible to graduate students, the theory is developed from scratch, the only prerequisite being a standard course in abstract algebra. For the sake of transparency, Kleshchev concentrates on symmetric and spin-symmetric groups, though methods he develops are quite general and apply to a number of related objects. In sum, this unique book will be welcomed by graduate students and researchers as a modern account of the subject.