Every reflection-equation solution yields a Drinfeld twist for a Yang-Baxter solution in cartesian monoidal categories, and group reflections extend to the structure group of set-theoretic solutions.
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Reflections and Drinfeld twists for set-theoretic Yang-Baxter maps
Every reflection-equation solution yields a Drinfeld twist for a Yang-Baxter solution in cartesian monoidal categories, and group reflections extend to the structure group of set-theoretic solutions.