182 citations · 1.2k across the 66 of their papers we have counts for
8 papers · 1 filter
Left-symmetric algebroids
Jiefeng Liu, Yunhe Sheng, Chengming Bai +1
In this paper, we introduce a notion of a left-symmetric algebroid, which is a generalization of a left-symmetric algebra from a vector space to a vector bundle. The left multiplic…
Rota-Baxter operators on and solutions of the classical Yang-Baxter equation
Jun Pei, Chengming Bai, Li Guo
We explicitly determine all Rota-Baxter operators (of weight zero) on under the Cartan-Weyl basis. For the skew-symmetric operators, we give the corresponding skew-symmet…
Splitting of operads and Rota-Baxter operators on operads
Jun Pei, Chengming Bai, Li Guo
This paper establishes a uniform procedure to split the operations in any algebraic operad, generalizing previous known notions of splitting algebraic structures from the dendrifor…
A new approach to hom-Lie bialgebras
Yunhe Sheng, Chengming Bai
In this paper, we introduce a new definition of a hom-Lie bialgebra, which is equivalent to a Manin triple of hom-Lie algebras. We also introduce a notion of an -operat…
Generalizations of the classical Yang-Baxter equation and O-operators
Chengming Bai, Xiang Ni, Li Guo
Tensor solutions (-matrices) of the classical Yang-Baxter equation (CYBE) in a Lie algebra, obtained as the classical limit of the -matrix solution of the quantum Yang-Baxter…
The category and operad of matching dialgebras
Yong Zhang, Chengming Bai, Li Guo
This paper gives a systematic study of matching dialgebras corresponding to the operad in \cite{Zi} as the only Koszul self dual operad there other than the operads of a…