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math.QA2024
On dynamical skew braces and skew bracoids
Davide Ferri
Dynamical skew braces are known to produce solutions to the quiver-theoretic Yang--Baxter equation. Under a technical hypothesis, we prove that these solutions are braided groupoid…
math.QA2024
Matched pairs and Yetter-Drinfeld braces
Davide Ferri, Andrea Sciandra
It is proven that a matched pair of actions on a Hopf algebra is equivalent to the datum of a Yetter-Drinfeld brace, which is a novel structure generalising Hopf braces. This i…