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.QA2024
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…
math-ph2024
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…