Details
Quantum Group Symmetry And Q-tensor Algebras
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140,00 € |
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| Verlag: | World Scientific Publishing |
| Format: | |
| Veröffentl.: | 31.08.1995 |
| ISBN/EAN: | 9789812830807 |
| Sprache: | englisch |
| Anzahl Seiten: | 304 |
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Beschreibungen
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.
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