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Solutions of the Yang-Baxter equation associated with a left brace

Published 10 Mar 2015 in math.GR and math.QA | (1503.02814v1)

Abstract: 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 $G$.

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