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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.GR2025
Matched pairs of Lie algebras and Rota-Baxter Lie algebras
Shukun Wang
In this paper, we investigate the relationship between matched pairs of Lie algebras and Rota-Baxter Lie algebras. First, we show that every Rota-Baxter Lie algebra $(\mathfrak{g},…