| 书目名称 | Quantum Groups in Three-Dimensional Integrability | | 编辑 | Atsuo Kuniba | | 视频video | | | 概述 | Presents quantized coordinate ring as a main player dual to what is usually meant by quantum group in physics literature.Illustrates quantization of the conventional Yang–Baxter and reflection equatio | | 丛书名称 | Theoretical and Mathematical Physics | | 图书封面 |  | | 描述 | Quantum groups have been studied intensively in mathematics and have found many valuable applications in theoretical and mathematical physics since their discovery in the mid-1980s. Roughly speaking, there are two prototype examples of quantum groups, denoted by .U.q. and .A.q.. The former is a deformation of the universal enveloping algebra of a Kac–Moody Lie algebra, whereas the latter is a deformation of the coordinate ring of a Lie group. Although they are dual to each other in principle, most of the applications so far are based on .U.q., and the main targets are solvable lattice models in 2-dimensions or quantum field theories in 1+1 dimensions.. .This book aims to present a unique approach to 3-dimensional integrability based on .A.q.. It starts from the tetrahedron equation, a 3-dimensional analogue of the Yang–Baxter equation, and its solution due to work by Kapranov–Voevodsky (1994).. .Then, it guides readers to its variety of generalizations, relations to quantum groups, and applications. They include a connection to the Poincaré–Birkhoff–Witt basis of a unipotent part of .U.q., reductions to the solutions of the Yang–Baxter equation, reflection equation, .G.2. reflectio | | 出版日期 | Book 2022 | | 关键词 | Quantized Coordinate Ring; Tetrahedron /3D Reflection Equations; PBW Basis of Positive Part of Quantiz | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-19-3262-5 | | isbn_softcover | 978-981-19-3264-9 | | isbn_ebook | 978-981-19-3262-5Series ISSN 1864-5879 Series E-ISSN 1864-5887 | | issn_series | 1864-5879 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
The information of publication is updating
|
|
发表于 2025-3-21 17:24:18
