Non-unitary set-theoretical solutions to the Quantum Yang-Baxter Equation

Abstract

We develop a theory of non-unitary set-theoretical solutions to the Quantum Yang-Baxter equation.Our results generalize those obtained by Etingof, Schedler and the author in [ESS].We remark that some of our constructions are similar to constructions obtained by Lu, Yan, and Zhu in [LYZ].