Quantum Groups, Quantum Categories and Quantum Field Theory (Paperback, 1st ed. 1993. 2nd printing 1995)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1542
Release date:	May 1993
First published:	February 1995
Authors:	Jurg Frohlich • Thomas Kerler
Dimensions:	235 x 155 x 22mm (L x W x T)
Format:	Paperback
Pages:	432
Edition:	1st ed. 1993. 2nd printing 1995
ISBN-13:	978-3-540-56623-6
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-540-56623-6
Barcode:	9783540566236

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