| Yang-Baxter Equation and Quantum Enveloping Algebras Contributor(s): Ma, Zhong-Qi (Author) |
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ISBN: 9810213832 ISBN-13: 9789810213831 Publisher: World Scientific Publishing Company OUR PRICE: $38.00 Product Type: Hardcover - Other Formats Published: December 1993 |
| Additional Information |
| BISAC Categories: - Science | Physics - Quantum Theory - Science | Physics - Mathematical & Computational |
| Dewey: 530.12 |
| LCCN: 94201578 |
| Series: Advanced Theoretical Physical Science |
| Physical Information: 328 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The exact solution of C N Yang's one-dimensional many-body problem with repulsive delta-function interactions and R J Baxter's eight-vertex statistical model are brilliant achievements in many-body statistical physics. A nonlinear equation, now known as the Yang-Baxter equation, is the key to the solution of both problems. The Yang-Baxter equation has also come to play an important role in such diverse topics as completely integrable statistical models, conformal and topological field theories, knots and links, braid groups and quantum enveloping algebras.This pioneering textbook attempts to make accessible results in this rapidly-growing area of research. The author presents the mathematical fundamentals at the outset, then develops an intuitive understanding of Hopf algebras, quantisation of Lie bialgebras and quantum enveloping algebras. The historical derivation of the Yang-Baxter equation from statistical models is recounted, and the interpretation and solution of the equation are systematically discussed. Throughout, emphasis is placed on acquiring calculation skills through physical understanding rather than achieving mathematical rigour.Originating from the author's own research experience and lectures, this book will prove both an excellent graduate text and a useful work of reference. |