书目名称 | Quantum Lie Theory | 副标题 | A Multilinear Approa | 编辑 | Vladislav Kharchenko | 视频video | | 概述 | Includes supplementary material: | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | .This is an introduction to the mathematics behind the phrase “quantum Lie algebra”. The numerous attempts over the last 15-20 years to define a quantum Lie algebra as an elegant algebraic object with a binary “quantum” Lie bracket have not been widely accepted. In this book, an alternative approach is developed that includes multivariable operations. Among the problems discussed are the following: a PBW-type theorem; quantum deformations of Kac--Moody algebras; generic and symmetric quantum Lie operations; the Nichols algebras; the Gurevich--Manin Lie algebras; and Shestakov--Umirbaev operations for the Lie theory of nonassociative products. Opening with an introduction for beginners and continuing as a textbook for graduate students in physics and mathematics, the book can also be used as a reference by more advanced readers. With the exception of the introductory chapter, the content of this monograph has not previously appeared in book form.. | 出版日期 | Book 2015 | 关键词 | 17B37,20G42,16T20,16T05,17A50,17B75,17B81,17B81,81R50; Nichols algebra; Poincaré-Birkhoff-Witt basis,; | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-22704-7 | isbn_softcover | 978-3-319-22703-0 | isbn_ebook | 978-3-319-22704-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer International Publishing Switzerland 2015 |
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