Constructing skew bracoids via abelian maps, and solutions to the {Y}ang-{B}axter equation
Group Theory
2025-01-30 v1 Mathematical Physics
math.MP
Abstract
We show how one can use the skew braces constructed using abelian maps to generate families of skew bracoids as defined by Martin-Lyons and Truman. Under certain circumstances, these bracoids give right non-degenerate solutions to the Yang-Baxter equation.
Cite
@article{arxiv.2501.17624,
title = {Constructing skew bracoids via abelian maps, and solutions to the {Y}ang-{B}axter equation},
author = {Alan Koch and Paul J. Truman},
journal= {arXiv preprint arXiv:2501.17624},
year = {2025}
}
Comments
13 pages