A. Van Antwerpen

activity

20172026

most citedRadical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation

24 citations · 58 across the 9 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.RA2022

Finite idempotent set-theoretic solutions of the Yang--Baxter equation

Ilaria Colazzo, Eric Jespers, Łukasz Kubat +2

It is proven that finite idempotent left non-degenerate set-theoretic solutions $(X, r)$ of the Yang-Baxter equation on a set $X$ are determined by a left simple semigroup structure…

math.RA2022★ 23 cited

Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation

E. Jespers, A. Van Antwerpen, L. Vendramin

We study relations between different notions of nilpotency in the context of skew braces and applications to the structure of solutions to the Yang-Baxter equation. In particular,…