David Bachiller, Ferran Cedo, Eric Jespers
Published 2015-03-10Version 1
Given a left brace $G$, a method to construct all the involutive, non-degenerate set-theoretic solutions $(Y,s)$ of the YBE, such that $\mathcal{G}(Y,s)\cong G$ is given. This method depends entirely on the brace structure of $G$.
Set-theoretic solutions of the Yang-Baxter equation and regular *-semibraces
Indecomposability and irreducibility of monomial representations for set-theoretical solutions to the Yang-Baxter equation
On derived-indecomposable solutions of the Yang--Baxter equation
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