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Quantum Groups and Lie Theory.
・ISBN 978-0-521-01040-5 paper GB£ 48.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-0-511-54284-8
| 著者・編者 | Pressley, Andrew (ed.), |
|---|---|
| シリーズ | London Mathematical Society Lecture Note Series |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2002 |
| ページ数 | 242 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-15923＞ |
解説
Since its genesis in the early 1980s, the subject of quantum groups has grown rapidly. By the late 1990s most of the foundational issues had been resolved and many of the outstanding problems clearly formulated. To take stock and to discuss the most fruitful directions for future research many of the world's leading figures in this area met at the Durham Symposium on Quantum Groups in the summer of 1999, and this volume provides an excellent overview of the material presented there. It includes important surveys of both cyclotomic Hecke algebras and the dynamical Yang-Baxter equation. Plus contributions which treat the construction and classification of quantum groups or the associated solutions of the quantum Yang-Baxter equation. The representation theory of quantum groups is discussed, as is the function algebra approach to quantum groups, and there is a new look at the origins of quantum groups in the theory of integrable systems.