Quantum Group Symmetry And Q-tensor Algebras

Lawrence C Biedenharn, Max A Lohe (Autoren)

Buch | Hardcover

304 Seiten

1995
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-2331-1 (ISBN)

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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.

Origins of quantum groups; representations of unitary quantum groups; tensor operators in quantum groups; the dual algebra and the factor group; rotation functions for SUq(2); quantum groups at roots of unity; algebraic induction of quantum group representations; special topics.

Erscheint lt. Verlag	1.8.1995
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
ISBN-10	981-02-2331-5 / 9810223315
ISBN-13	978-981-02-2331-1 / 9789810223311
Zustand	Neuware