most citedStudying solutions of the Yang-Baxter equation through skew braces, with an application to indecomposable involutive solutions with abelian permutation group

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.RA2024

A Lazard correspondence for post-Lie rings and skew braces

Senne Trappeniers

We develop a Lazard correspondence between post-Lie rings and skew braces that satisfy a natural completeness condition. This is done through a thorough study of how the Lazard cor…

math.QA2024

Indecomposable involutive set-theoretical solutions to the Yang-Baxter equation of size

Carsten Dietzel, Silvia Properzi, Senne Trappeniers

The quantum Yang-Baxter equation is a braiding condition on vector spaces which is of high relevance in several fields of mathematics, such as knot theory and quantum group theory.…

math.RA2023★ 1 cited

Studying solutions of the Yang-Baxter equation through skew braces, with an application to indecomposable involutive solutions with abelian permutation group

Marco Castelli, Senne Trappeniers

We connect properties of set-theoretic solutions to the Yang--Baxter equation to properties of their permutation skew brace. In particular, a variation of the multipermutation leve…