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math.QA2022★ 2 cited
Rota-Baxter Lie bialgebras, classical Yang-Baxter equations and special L-dendriform bialgebras
Chengming Bai, Li Guo, Guilai Liu +1
We establish a bialgebra structure on Rota-Baxter Lie algebras following the Manin triple approach to Lie bialgebras. Explicitly, Rota-Baxter Lie bialgebras are characterized by ge…
math.QA2021★ 1 cited
Bialgebras, Frobenius algebras and associative Yang-Baxter equations for Rota-Baxter algebras
Chengming Bai, Li Guo, Tianshui Ma
Rota-Baxter operators and bialgebras go hand in hand in their applications, such as in the Connes-Kreimer approach to renormalization and the operator approach to the classical Yan…
math.QA2021
Crossed homomorphisms and Cartier-Kostant-Milnor-Moore theorem for difference Hopf algebras
Li Guo, Yunnan Li, Yunhe Sheng +1
The celebrated Milnor-Moore theorem and the more general Cartier-Kostant-Milnor-Moore theorem establish close relationships of a connected and a pointed cocommutative Hopf algebra…