Quantum group symmetry and q-tensor algebras
Author(s)
Bibliographic Information
Quantum group symmetry and q-tensor algebras
World Scientific, c1995
Available at 30 libraries
Note
Includes bibliographical references (p. 275-289) and index
Description and Table of Contents
Description
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.
Table of Contents
- 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.
by "Nielsen BookData"