182 citations · 1.2k across the 66 of their papers we have counts for
66 papers
On Rota-Baxter vertex operator algebras
Chengming Bai, Li Guo, Jianqi Liu +1
Derivations play a fundamental role in the definition of vertex (operator) algebras, sometimes regarded as a generalization of differential commutative algebras. This paper studies…
Classical Yang-Baxter equation for vertex operator algebras and its operator forms
Chengming Bai, Li Guo, Jianqi Liu
In this paper we introduce an analog of the (classical) Yang-Baxter equation (CYBE) for vertex operator algebras (VOAs) in its tensor form, called the vertex operator Yang-Baxter e…
Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation
Chengming Bai, Li Guo, Yunhe Sheng +1
The notions of a post-group and a pre-group are introduced as a unification and enrichment of several group structures appearing in diverse areas from numerical integration to the…
Relative Poisson bialgebras and Frobenius Jacobi algebras
Guilai Liu, Chengming Bai
Jacobi algebras, as the algebraic counterparts of Jacobi manifolds, are exactly the unital relative Poisson algebras. The direct approach of constructing Frobenius Jacobi algebras…
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…
Anti-dendriform algebras, new splitting of operations and Novikov type algebras
Dongfang Gao, Guilai Liu, Chengming Bai
We introduce the notion of anti-dendriform algebras as a new approach of splitting the associativity. They are characterized as the algebras with two operations whose sum is associ…