Relative Rota-Baxter operators of weight 0 on groups, pre-groups, braces, the Yang-Baxter equation and $T$-structures
Mathematical Physics
2025-05-06 v1 Group Theory
math.MP
Rings and Algebras
Abstract
In this paper, we study relative Rota-Baxter operators of weight on groups and give various examples. In particular, we propose different approaches to study Rota-Baxter operators of weight on groups and Lie groups. We establish various explicit relations among relative Rota-Baxter operators of weight on groups, pre-groups, braces, set-theoretic solutions of the Yang-Baxter equation and -structures.
Keywords
Cite
@article{arxiv.2312.01337,
title = {Relative Rota-Baxter operators of weight 0 on groups, pre-groups, braces, the Yang-Baxter equation and $T$-structures},
author = {Yunnan Li and Yunhe Sheng and Rong Tang},
journal= {arXiv preprint arXiv:2312.01337},
year = {2025}
}
Comments
21 pages