Introduction to the Quantum Yang-Baxter Equation and Quantum Groups: An Algebraic Approach
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Overview
The quantum Yang-Baxter equation is an important equation to solve for applications in physics and topology. This book treats the equation in the context of algebraic systems and as a problem for computer algebra. An up-to-date account of the theoretical foundations of solving the equation is given. The book contains new material which is described in the preface.
Audience: The book can be used by graduate students and specialists. Over 200 exercises guide the reader from basic principles to research areas.
Synopsis
The quantum Yang-Baxter equation is an important equation to solve for applications in physics and topology. This book treats the equation in the context of algebraic systems and as a problem for computer algebra. An up-to-date account of the theoretical foundations of solving the equation is given. The book contains new material which is described in the preface.
Audience: The book can be used by graduate students and specialists. Over 200 exercises guide the reader from basic principles to research areas.
Booknews
Treats the equation, important in physics and topology applications, within the context of algebraic systems and as a problem for computer algebra. Also provides a current account of the theoretical foundations for solving the equation, new results not found elsewhere in the literature (at least by the authors), and over 200 exercises to guide readers from basic principles to research areas. Co-algebra, which is the dual of X matrices over a field, underlies most of the algebraic constructions described. After reviewing algebraic preliminaries and the equation itself, discusses such topics as categories of modules, bi-algebra, the fundamental example of a quantum group, quasi-triangular structures and the double, and some classes of solutions. Annotation c. by Book News, Inc., Portland, Or.