Skew braces: a brief survey
Rings and Algebras
2024-12-05 v3 Group Theory
Quantum Algebra
Abstract
Our primary focus is on the theory of skew braces, specifically exploring their connection with combinatorial solutions to the Yang-Baxter equation. Skew braces have recently emerged as intriguing algebraic structures, and their link to the Yang-Baxter equation adds further depth and significance to their study. Throughout this article, we place particular emphasis on various problems and conjectures that arise within this field. These open questions serve to stimulate further research and investigation, as we strive to enhance our understanding of skew braces and their role in the study of the Yang-Baxter equation.
Cite
@article{arxiv.2311.07112,
title = {Skew braces: a brief survey},
author = {Leandro Vendramin},
journal= {arXiv preprint arXiv:2311.07112},
year = {2024}
}
Comments
22 pages. Final version. Postprint