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The importance of the Yang-Baxter equation to a
variety of branches in mathematics and physics is
well known. Its solutions are intimately related to
quantum groups, knot theory, exactly solvable
statistical mechanical models, quantum and classical
integrable models, etc.
In this book, we present a new method to construct
solutions for the Yang-Baxter equation. Our method
can be applied for solving other equations in Quantum
Group Theory. Also, this book provides a categorical
interpretation for the construction of the
Yang-Baxter operators derived from (co)algebra
structures, leading to the...