287 citations · 1.4k across the 60 of their papers we have counts for
6 papers · 1 filter
Isoclinism of skew braces
Thomas Letourmy, Leandro Vendramin
We define isoclinism of skew braces and present several applications. We study some properties of skew braces that are invariant under isoclinism. For example, we prove that right…
Bosonization of curved Lie bialgebras
I. Heckenberger, L. Vendramin
We use Cartier's preadditive symmetric monoidal categories to study Lie bialgebras. We prove that bosonization can be done consistently in this framework. In the last part of the p…
Involutive Yang-Baxter: cabling, decomposability, Dehornoy class
V. Lebed, S. Ramírez, L. Vendramin
We develop new machinery for producing decomposability tests for involutive solutions to the Yang-Baxter equation. It is based on the seminal decomposability theorem of Rump, and o…
On the enumeration of finite -algebras
C. Dietzel, P. Menchón, L. Vendramin
We use Constraint Satisfaction Methods to construct and enumerate finite -algebras up to isomorphism. These objects were recently introduced by Rump and appear in Garside theory…
The prime spectrum of an -algebra
W. Rump, L. Vendramin
We prove that the lattice of ideals of an arbitrary -algebra is distributive. As a consequence, a spectral theory applies with no restriction. We also study the spectrum (i.e. t…
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,…