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math.RA2025
Matched pairs of Hopf algebras and Rota-Baxter Hopf algebras
Shukun Wang
In this paper, we first study Rota-Baxter Hopf algebras of weight and construct a matched pair of Hopf algebras on every Rota-Baxter Hopf algebra of weight . Then we propo…
math.RA2024
Projective Banach Lie bialgebras, the projective Yang-Baxter equation and projective Poisson-Lie groups
Zhonghua Li, Shukun Wang
In this paper, we first introduce the notion of projective Banach Lie bialgebras as the projective tensor product analogue of Banach Lie bialgebras. Then we consider the completion…
math.RA2023
Rota-Baxter systems of Hopf algebras and Hopf trusses
Zhonghua Li, Shukun Wang
As Hopf truss analogues of Rota-Baxter Hopf algebras, the notion of Rota-Baxter systems of Hopf algebras is proposed. We study the relatiohship between Rota-Baxter systems of Hopf…