Set-theoretic solutions of the Yang--Baxter equation, associated quadratic algebras and the minimality condition

F. Cedo, E. Jespers, J. Okninski

Given a finite non-degenerate set-theoretic solution $(X,r)$ of the Yang-Baxter equation and a field $K$, the structure $K$-algebra of $(X,r)$ is $A=A(K,X,r)=K\langle X\mid xy=uv \…