33 citations · 63 across the 13 of their papers we have counts for
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Parity duality of super -matrices via -operators and pre-Lie superalgebras
Chengming Bai, Li Guo, Runxuan Zhang
This paper studies super -matrices and operator forms of the super classical Yang-Baxter equation. First by a unified treatment, the classical correspondence between -matrice…
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…
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…