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math-ph2025
Rota-Baxter operators on braces, post-braces and the Yang-Baxter equation
Li Guo, Yan Jiang, Yunhe Sheng +1
Combining the notions of braces and relative Rota-Baxter operators on groups in connection with the Yang-Baxter equation and a factorization theorem of Lie groups from integrable s…
math-ph2025
Braided dynamical groups, the dynamical Yang-Baxter equation and related structures
Chengming Bai, Li Guo, Yunhe Sheng +1
We introduce the notion of a braided dynamical group which is a matched pair of dynamical groups satisfying extra conditions. It is shown to give a solution of the dynamical Yang-B…
math-ph2025
Phase space of a Poisson algebra and the induced Pre-Poisson bialgebra
You Wang, Yunhe Sheng
In this paper, we first introduce the notion of a phase space of a Poisson algebra, and show that a Poisson algebra has a phase space if and only if it is sub-adjacent to a pre-Poi…