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YangBaxter Equation and Quantum Enveloping Algebras (Advanced Theoretical Physical Science),Used
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The exact solution of C N Yang's onedimensional manybody problem with repulsive deltafunction interactions and R J Baxter's eightvertex statistical model are brilliant achievements in manybody statistical physics. A nonlinear equation, now known as the YangBaxter equation, is the key to the solution of both problems. The YangBaxter 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 rapidlygrowing 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 YangBaxter 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.
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