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

TL;DR

This paper develops a theory for non-unitary set-theoretical solutions to the Quantum Yang-Baxter equation, expanding previous frameworks and drawing parallels with existing constructions by other researchers.

Contribution

It introduces a generalized theory of non-unitary solutions to the Quantum Yang-Baxter equation, extending prior work and connecting with known constructions.

Findings

Generalized solutions to the Quantum Yang-Baxter equation.

Connections between new solutions and existing constructions.

Expansion of theoretical framework for set-theoretical solutions.

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. We remark that some of our constructions are similar to constructions obtained by Lu, Yan and Zhu.