On the (colored) Yang-Baxter Equation

David Hobby, Barna Iantovics, Florin Felix Nichita

Abstract


The quantum Yang-Baxter equation ¯rst appeared in theoretical physics and statistical mechanics. Afterwards, it has proved to be
important also in knot theory, quantum groups, etc. This paper deals with the (colored) Yang-Baxter equation and computational methods. A new result about the set-theoretical Yang-Baxter equation is presented.

Keywords


Yang-Baxter equations, computational complexity, computa- tionally hard problems, applications of mathematics.

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