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Item Details
Title: QUANTUM GROUP SYMMETRY AND Q-TENSOR ALGEBRAS
By: Max A. Lohe, L. C. Biedenharn
Format: Hardback

List price: £61.00


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ISBN 10: 9810223315
ISBN 13: 9789810223311
Publisher: WORLD SCIENTIFIC PUBLISHING CO PTE LTD
Pub. date: 1 August, 1995
Pages: 304
Description: This monograph is a survey of the major developments in quantum groups, using an original approach based on the fundamental concept of a tensor operator.
Synopsis: Quantum groups are a generalization of the classical Lie groups and Lie algebras and provide a natural extension of the concept of symmetry fundamental to physics. This monograph is a survey of the major developments in quantum groups, using an original approach based on the fundamental concept of a tensor operator. Using this concept, properties of both the algebra and co-algebra are developed from a single uniform point of view, which is especially helpful for understanding the noncommuting co-ordinates of the quantum plane, which we interpret as elementary tensor operators. Representations of the q-deformed angular momentum group are discussed, including the case where q is a root of unity, and general results are obtained for all unitary quantum groups using the method of algebraic induction. Tensor operators are defined and discussed with examples, and a systematic treatment of the important (3j) series of operators is developed in detail. This book is a good reference for graduate students in physics and mathematics.
Publication: Singapore
Imprint: World Scientific Publishing Co Pte Ltd
Returns: Returnable
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