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math-ph2023
Relative Rota-Baxter operators of weight 0 on groups, pre-groups, braces, the Yang-Baxter equation and -structures
Yunnan Li, Yunhe Sheng, Rong Tang
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 operat…
math-ph2022★ 1 cited
Post-Hopf algebras, relative Rota-Baxter operators and solutions of the Yang-Baxter equation
Yunnan Li, Yunhe Sheng, Rong Tang
In this paper, first we introduce the notion of a post-Hopf algebra, which gives rise to a post-Lie algebra on the space of primitive elements and there is naturally a post-Hopf al…