Preprint

Bijective solutions to the Pentagon Equation
A complete classification of all finite bijective set-theoretic solutions (S,s) to the Pentagon Equation is obtained. First, it is …
I Colazzo, J Okniński, Arne Van Antwerpen
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On the cabling of non-involutive set-theoretic solutions of the Yang--Baxter equation
In this paper, we propose an extension of the cabling methods to bijective non-degenerate solutions of the Yang–Baxter equation, …
Ilaria Colazzo, Arne Van Antwerpen
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Simple solutions of the Yang-Baxter equation
We present a characterization of simple finite non-degenerate bijective set-theoretic solutions of the Yang-Baxter equation in terms of …
Ilaria Colazzo, Eric Jespers, Łukasz Kubat, Arne Van Antwerpen
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Structure algebras of finite set-theoretic solutions of the Yang--Baxter equation
Algebras related to finite bijective or idempotent left non-degenerate solutions $(X,r)$ of the Yang–Baxter equation have been …
Ilaria Colazzo, Eric Jespers, Łukasz Kubat, Arne Van Antwerpen
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