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math.QA2020
Constructing finite simple solutions of the Yang-Baxter equation
Ferran Cedó, Jan Okniński
We study involutive non-degenerate set-theoretic solutions (X,r) of the Yang-Baxter equation on a finite set X. The emphasis is on the case where (X,r) is indecomposable, so the as…
math.RA2020
On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang--Baxter equation
F. Cedó, E. Jespers, Ł. Kubat +2
Given a finite bijective non-degenerate set-theoretic solution of the Yang--Baxter equation we characterize when its structure monoid is Malcev nilpotent. Applying…