Hidden Bibliographic Details
| Other authors / contributors: | Kerler, Thomas, 1965-
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| ISBN: | 9783540476115
3540476113
9780387566238
0387566236
9783540566236
3540566236
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| Notes: | Includes bibliographical references (pages 422-428) and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
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Print version record.
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| Summary: | This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results. Among the main results are a detailed analysis of the representation theory of U (sl), for q a primitive root of unity, and a semi-simple quotient thereof, a classfication of braided tensor categories generated by an object of q-dimension less than two, and an application of these results to the theory of sectors in algebraic quantum field theory. This clarifies the notion of "quantized symmetries" in quantum fieldtheory. The reader is expected to be familiar with basic notions and resultsin algebra. The book is intended for research mathematicians, mathematical physicists and graduate students.
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| Other form: | Print version: Fröhlich, Jürg. Quantum groups, quantum categories, and quantum field theory. Berlin : New York : Springer-Verlag, ©1993 3540566236
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