| 书目名称 | Complex Semisimple Quantum Groups and Representation Theory |
| 编辑 | Christian Voigt,Robert Yuncken |
| 视频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 |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 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 |
| 关键词 | 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 |
|Archiver|手机版|小黑屋|
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