Yang-Baxter Equations, Computational Methods and Applications.

Computational methods are an important tool for solving the Yang-Baxter equations (in small dimensions), for classifying (unifying) structures and for solving related problems. This paper is an account of some of the latest developments on the Yang-Baxter equation, its set-theoretical version and its applications. We construct new set-theoretical solutions for the Yang-Baxter equation. Unification theories and other results are proposed or proven. [ABSTRACT FROM AUTHOR]