9 citations · 9 across the 11 of their papers we have counts for
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Quantizations of transposed Poisson algebras by Novikov deformations
Siyuan Chen, Chengming Bai
The notions of the Novikov deformation of a commutative associative algebra and the corresponding classical limit are introduced. We show such a classical limit belongs to a subcla…
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…
Solving the Poisson Yang-Baxter equation via deformation-to-quasiclassical-limits
Siyuan Chen, Chengming Bai, Li Guo
A fundamental construction of Poisson algebras is to derive them as the quasiclassical limits (QCLs) of associative algebra deformations of commutative associative algebras. This p…
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…