9 citations · 14 across the 5 of their papers we have counts for
6 papers
Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras
C. Bai, R. Bai, L. Guo +1
We introduce a dual notion of the Poisson algebra by exchanging the roles of the two binary operations in the Leibniz rule defining the Poisson algebra. We show that the transposed…
Constructing 3-Lie algebras
Ruipu Bai, Yong Wu
3-Lie algebras are constructed by Lie algebras, derivations and linear functions, associative commutative algebras, whose involutions and derivations. Then the 3-Lie algebras are o…
Rota-Baxter 3-Lie algebras
Ruipu Bai, Li Guo, Jianqian Li +1
In this paper we introduce the concepts of a Rota-Baxter operator and a differential operator with weights on an -algebra. We then focus on Rota-Baxter 3-Lie algebras and show t…
On 3-Lie algebras with abelian ideals and subalgebras
RuiPu Bai, Lihong Zhang, Yong Wu +1
In this paper, we study the maximal dimension of abelian subalgebras and the maximal dimension of abelian ideals of m-dimensional 3-Lie algebras over an algebraic…
Derivations and automorphism groups of completed Witt Lie algebra
Yongping Wu, Ying Xu, Lamei Yuan
In this paper, a simple Lie algebra, referred to as the completed Witt Lie algebra, is introduced. Its derivation algebra and automorphism group are completely described. As a bypr…
Lie bialgebra structures on extended Schrodinger-Virasoro Lie algebra
Lamei Yuan, Yongping Wu, Ying Xu
In this paper, Lie bialgebra structures on the extended Schrodinger-Virasoro Lie algebra are classified. It is obtained that all the Lie bialgebra structures on L are triangular co…