93 citations · 147 across the 4 of their papers we have counts for
4 papers
Left-symmetric Superalgebra Structures on the Super-Virasoro Algebras
Xiaoli Kong, Chengming Bai
In this paper, we classify the compatible left-symmetric superalgebra structures on the super-Virasoro algebras satisfying certain natural conditions.
Refinement of Ado's Theorem in Low Dimensions and Application in Affine Geometr
Yi-Fang Kang, Cheng-Ming Bai
In this paper, we construct a faithful representation with the lowest dimension for every complex Lie algebra in dimension . In particular, in our construction, in the case…
From Rota-Baxter Algebras to Pre-Lie Algebras
Huihui An, Chengming Bai
Rota-Baxter algebras were introduced to solve some analytic and combinatorial problems and have appeared in many fields in mathematics and mathematical physics. Rota-Baxter algebra…
Left-symmetric Bialgebras and An Analogue of the Classical Yang-Baxter Equation
Chengming Bai
We introduce a notion of left-symmetric bialgebra which is an analogue of the notion of Lie bialgebra. We prove that a left-symmetric bialgebra is equivalent to a symplectic Lie al…