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math.RA2024
Non-involutive solutions of the Yang-Baxter equation of multipermutation level 2
Jan Hora, Premysl Jedlicka, Agata Pilitowska
We study non-degenerate set-theoretic solutions of the Yang-Baxter equation of multipermutation level 2 which are not 2-reductive. We describe an effective way of constructing such…
math.RA2024
Diagonals of solutions of the Yang-Baxter equation
Premysl Jedlicka, Agata Pilitowska
We study the diagonal mappings in non-involutive set-theoretic solutions of the Yang-Baxter equation. We show that, for non-degenerate solutions, they are commuting bijections. Thi…