21 citations · 24 across the 3 of their papers we have counts for
4 papers · 1 filter
Deformation families of Novikov bialgebras via differential antisymmetric infinitesimal bialgebras
Yanyong Hong, Chengming Bai, Li Guo
Generalizing S. Gelfand's classical construction of a Novikov algebra from a commutative differential algebra, a deformation family , for scalars , of Novikov algeb…
Infinite-dimensional Lie bialgebras via affinization of Novikov bialgebras and Koszul duality
Yanyong Hong, Chengming Bai, Li Guo
Balinsky and Novikov showed that the affinization of a Novikov algebra naturally defines a Lie algebra, a property that in fact characterizes the Novikov algebra. It is also an ins…
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…
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…