| 书目名称 | Elliptic Quantum Groups |
| 副标题 | Representations and |
| 编辑 | Hitoshi Konno |
| 视频video | http://file.papertrans.cn/308/307805/307805.mp4 |
| 概述 | Provides the first survey of elliptic quantum groups.Describes the elliptic quantum group concretely and pedagogically in the simplest setting.Contains finite and infinite dimensional representations |
| 丛书名称 | SpringerBriefs in Mathematical Physics |
| 图书封面 |  |
| 描述 | This is the first book on elliptic quantum groups, i.e., quantum groups associated to elliptic solutions of the Yang-Baxter equation. Based on research by the author and his collaborators, the book presents a comprehensive survey on the subject including a brief history of formulations and applications, a detailed formulation of the elliptic quantum group in the Drinfeld realization, explicit construction of both finite and infinite-dimensional representations, and a construction of the vertex operators as intertwining operators of these representations. The vertex operators are important objects in representation theory of quantum groups. In this book, they are used to derive the elliptic q-KZ equations and their elliptic hypergeometric integral solutions. In particular, the so-called elliptic weight functions appear in such solutions. The author’s recent study showed that these elliptic weight functions are identified with Okounkov’s elliptic stableenvelopes for certain equivariant elliptic cohomology and play an important role to construct geometric representations of elliptic quantum groups. Okounkov’s geometric approach to quantum integrable systems is a rapidly growing |
| 出版日期 | Book 2020 |
| 关键词 | Elliptic quantum groups; Vertex operators; q-KZ equations; Elliptic stable envelopes; Quantum integrable |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-15-7387-3 |
| isbn_softcover | 978-981-15-7386-6 |
| isbn_ebook | 978-981-15-7387-3Series ISSN 2197-1757 Series E-ISSN 2197-1765 |
| issn_series | 2197-1757 |
| copyright | Springer Nature Singapore Pte Ltd. 2020 |
|Archiver|手机版|小黑屋|
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