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Young Tableaux : With Applications to Representation Theory and Geometry.
・ISBN 978-0-521-56724-4 paper GB£ 49.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-62624-1
| 著者・編者 | Fulton, William, |
|---|---|
| シリーズ | London Mathematical Society Student Texts |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 1996 |
| ページ数 | 272 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-10684＞ |
解説
The aim of this book is to develop the combinatorics of Young tableaux and to show them in action in the algebra of symmetric functions, representations of the symmetric and general linear groups, and the geometry of flag varieties. The first part of the book is a self-contained presentation of the basic combinatorics of Young tableaux, including the remarkable constructions of 'bumping' and 'sliding', and several interesting correspondences. In Part II these results are used to study representations with geometry on Grassmannians and flag manifolds, including their Schubert subvarieties, and the related Schubert polynomials. Much of this material has never appeared in book form.There are numerous exercises throughout, with hints or answers provided. Researchers in representation theory and algebraic geometry as well as in combinatorics will find Young Tableaux interesting and useful; students will find the intuitive presentation easy to follow.