QUANTUM GROUP SYMMETRY & q-TENSOR ALGEBR (eBook)

Lawrence C Biedenharn, Max A Lohe (Autoren)

eBook Download: PDF

1995
304 Seiten
World Scientific Publishing Company (Verlag)
978-981-283-080-7 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 31.8.1995
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• ISBN-10: 981-283-080-4 / 9812830804
• ISBN-13: 978-981-283-080-7 / 9789812830807