| 书目名称 | Introduction to Quantum Groups | | 编辑 | Teo Banica | | 视频video | | | 概述 | First comprehensive treatment of quantum groups in the sense of Woronowicz.Contains exercises with comments to help the reader deepen their knowledge of the subject.Includes a detailed discussion of t | | 图书封面 |  | | 描述 | .This book introduces the reader to quantum groups, focusing on the simplest ones, namely the closed subgroups of the free unitary group..Although such quantum groups are quite easy to understand mathematically, interesting examples abound, including all classical Lie groups, their free versions, half-liberations, other intermediate liberations, anticommutation twists, the duals of finitely generated discrete groups, quantum permutation groups, quantum reflection groups, quantum symmetry groups of finite graphs, and more..The book is written in textbook style, with its contents roughly covering a one-year graduate course. Besides exercises, the author has included many remarks, comments and pieces of advice with the lone reader in mind. The prerequisites are basic algebra, analysis and probability, and a certain familiarity with complex analysis and measure theory. Organized in four parts, the book begins with the foundations of the theory, due to Woronowicz, comprising axioms, Haar measure, Peter–Weyl theory, Tannakian duality and basic Brauer theorems. The core of the book, its second and third parts, focus on the main examples, first in the continuous case, and then in the discr | | 出版日期 | Textbook 2022 | | 关键词 | Woronowicz quantum groups; Free quantum groups; Free orthogonal quantum groups; Unitary quantum groups; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-23817-8 | | isbn_softcover | 978-3-031-23819-2 | | isbn_ebook | 978-3-031-23817-8 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 18:30:00
