287 citations · 1.4k across the 60 of their papers we have counts for
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math.GR2020★ 17 cited
Enumeration of set-theoretic solutions to the Yang-Baxter equation
Ö. Akgün, M. Mereb, L. Vendramin
We use Constraint Satisfaction methods to enumerate and construct set-theoretic solutions to the Yang-Baxter equation of small size. We show that there are 321931 involutive soluti…
math.QA2020★ 5 cited
Reflection equation as a tool for studying solutions to the Yang-Baxter equation
V. Lebed, L. Vendramin
Given a right-non-degenerate set-theoretic solution to the Yang-Baxter equation, we construct a whole family of YBE solutions on indexed by its reflections $k…
math.RA2020★ 24 cited
Radical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation
E. Jespers, Ł. Kubat, A. Van Antwerpen +1
We define the radical and weight of a skew left brace and provide some basic properties of these notions. In particular, we obtain a Wedderburn type decomposition for Artinian skew…