4 papers
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…
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…
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…
A bialgebra theory of Gel'fand-Dorfman algebras with applications to Lie conformal bialgebras
Yangyon Hong, Chengming Bai, Li Guo
Gel'fand-Dorfman algebras (GD algebras) give a natural construction of Lie conformal algebras and are in turn characterized by this construction. In this paper, we define the Gel'f…