| 书目名称 | Shuffle Approach Towards Quantum Affine and Toroidal Algebras |
| 编辑 | Alexander Tsymbaliuk |
| 视频video | http://file.papertrans.cn/867/866792/866792.mp4 |
| 概述 | Shuffle approach is a powerful technique in treating both algebraic and geometric aspects of quantum affinized algebras.Collects in one volume information about shuffle algebras which usually is sprea |
| 丛书名称 | SpringerBriefs in Mathematical Physics |
| 图书封面 |  |
| 描述 | This book is based on the author‘s mini course delivered at Tokyo University of Marine Science and Technology in March 2019. .The shuffle approach to Drinfeld–Jimbo quantum groups of finite type (embedding their "positive" subalgebras into q-deformed shuffle algebras) was first developed independently in the 1990s by J. Green, M. Rosso, and P. Schauenburg. Motivated by similar ideas, B. Feigin and A. Odesskii proposed a shuffle approach to elliptic quantum groups around the same time. The shuffle algebras in the present book can be viewed as trigonometric degenerations of the Feigin–Odesskii elliptic shuffle algebras. They provide combinatorial models for the "positive" subalgebras of quantum affine algebras in their loop realizations. These algebras appeared first in that context in the work of B. Enriquez..Over the last decade, the shuffle approach has been applied to various problems in combinatorics (combinatorics of Macdonald polynomials and Dyck paths, generalization to wreath Macdonald polynomials and operators), geometric representation theory (especially the study of quantum algebras’ actions on the equivariant K-theories of various moduli spaces such as affine Laumon spac |
| 出版日期 | Book 2023 |
| 关键词 | Shuffle Approach; Quantum Affine Algebras; Quantum Toroidal Algebras; Representation Theory; Combinatori |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-99-3150-7 |
| isbn_softcover | 978-981-99-3149-1 |
| isbn_ebook | 978-981-99-3150-7Series ISSN 2197-1757 Series E-ISSN 2197-1765 |
| issn_series | 2197-1757 |
| copyright | The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2023 |
|Archiver|手机版|小黑屋|
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