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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…
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…
Deformations and homotopy of Rota-Baxter operators and -operators on Lie algebras
Rong Tang, Chengming Bai, Li Guo +1
This article gives a brief introduction to some recent work on deformation and homotopy theories of Rota-Baxter operators and more generally -operators on Lie algebras…