182 citations · 1.2k across the 66 of their papers we have counts for
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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…
Bijective 1-cocycles and classification of 3-dimensional Left-symmetric Algebras
Chengming Bai
Left-symmetric algebras have close relations with many important fields in mathematics and mathematical physics. Their classification is very complicated due to the nonassociativit…
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…
A Unified Algebraic Approach to Classical Yang-Baxter Equation
Chengming Bai
In this paper, the different operator forms of classical Yang-Baxter equation are given in the tensor expression through a unified algebraic method. It is closely related to left-s…
Classification of Graded Left-symmetric Algebra Structures on Witt and Virasoro Algebras
Xiaoli Kong, Hongjia Chen, Chengming Bai
We find that a compatible graded left-symmetric algebra structure on the Witt algebra induces an indecomposable module of the Witt algebra with 1-dimensional weight spaces by its l…