Yang-Baxter Equation in Integrable Systems

This volume will be the first reference book devoted specially to the Yang-Baxter equation. The subject relates to broad areas including solvable models in statistical mechanics, factorized S matrices, quantum inverse scattering method, quantum groups, knot theory and conformal field theory. The articles assembled here cover major works from the pioneering papers to classical Yang-Baxter equation, its quantization, variety of solutions, constructions and recent generalizations to higher genus solutions.Sample Chapter(s)

"The collection serves a dual purpose: it provides the physicist or mathematician who works in a different field with an overview of the subject; furthermore, it provides those who work in the subject with a compendium of basic references put conveniently together in one volume." Mathematical Reveiws, 1991 "Thus the book gives a good survey of results in one of the hottest points of mathematical physics from the first hands." Mathematics Abstracts, 1992 "The second volume is such an excellent, representative collection of articles on the very rich field centered around the Yang-Baxter equation that is should have its place on the shelves of every good library. It is also warmly recommended for people wishing to join this active research area as well as for those who just want to learn the main developments." Acta Sci. Math. (Szeged), 1993