3 papers
math.RA2025
Leibniz conformal bialgebras and the classical Leibniz conformal Yang-Baxter equation
Zhongyin Xu, Chengming Bai, Yanyong Hong
We introduce the notion of Leibniz conformal bialgebras, presenting a bialgebra theory for Leibniz conformal algebras as well as the conformal analogues of Leibniz bialgebras. They…
math.RA2024
On Poisson conformal bialgebras
Yanyong Hong, Chengming Bai
We develop a conformal analog of the theory of Poisson bialgebras as well as a bialgebra theory of Poisson conformal algebras. We introduce the notion of Poisson conformal bialgebr…
math.QA2024
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…