书目名称 | Quantum Groups, Quantum Categories and Quantum Field Theory | 编辑 | Jürg Fröhlich,Thomas Kerler | 视频video | | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | This book reviews recent results on low-dimensional quantumfield theoriesand their connection with quantum grouptheory and the theory of braided, balanced tensorcategories. It presents detailed, mathematicallypreciseintroductions to these subjects and then continues with newresults. Among the main results are a detailed analysis oftherepresentation theory of U (sl ), for q a primitiveroot of unity, and asemi-simple quotient thereof, aclassfication of braided tensor categoriesgenerated by anobject of q-dimension less than two, and an application ofthese results to the theory of sectors in algebraic quantumfieldtheory. This clarifies the notion of "quantizedsymmetries" in quantum fieldtheory. The reader is expectedto be familiar with basic notions and resultsin algebra.The book is intended for research mathematicians,mathematical physicists and graduate students. | 出版日期 | Book 1993 | 关键词 | Braid Groups; Group theory; Quantum Field Theory; Quantum Groups; Representation theory; Tensor Categorie | 版次 | 1 | doi | https://doi.org/10.1007/BFb0084244 | isbn_softcover | 978-3-540-56623-6 | isbn_ebook | 978-3-540-47611-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer-Verlag Berlin Heidelberg 1993 |
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