| 書目名稱 | Quantum Lie Theory | | 副標(biāo)題 | A Multilinear Approa | | 編輯 | Vladislav Kharchenko | | 視頻video | http://file.papertrans.cn/782/781266/781266.mp4 | | 概述 | Includes supplementary material: | | 叢書名稱 | Lecture Notes in Mathematics | | 圖書封面 |  | | 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 | | 關(guān)鍵詞 | 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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