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.
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