| 書目名稱 | Complex Semisimple Quantum Groups and Representation Theory | | 編輯 | Christian Voigt,Robert Yuncken | | 視頻video | http://file.papertrans.cn/232/231534/231534.mp4 | | 概述 | Provides a comprehensive, accessible and self-contained introduction to the theory of quantized universal enveloping algebras and their associated quantized semisimple Lie groups.Presents complete pro | | 叢書名稱 | Lecture Notes in Mathematics | | 圖書封面 |  | | 描述 | .This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group...?The main components are:..-?? a thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite dimensional representation theory, the Poincaré-Birkhoff-Witt Theorem, the locally finite part, and the Harish-Chandra homomorphism,..-?? the analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals,..-?? algebraic representation theory in terms of category O, and..-?? analytic representationtheory of quantized complex semisimple groups...?Given its scope, the book will be a valuable resource for both graduate students and researchers in the area of quantum groups.. | | 出版日期 | Book 2020 | | 關(guān)鍵詞 | Category O; Drinfeld Double; Harish-Chandra Modules; Quantized Enveloping Algebras; Quantum Groups | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-52463-0 | | isbn_softcover | 978-3-030-52462-3 | | isbn_ebook | 978-3-030-52463-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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