21 citations · 81 across the 28 of their papers we have counts for
29 papers
Deformations of relative Rota-Baxter operators on Leibniz Triple Systems
Xueru Wu, Yao Ma, Liangyun Chen
In this paper, we introduce the cohomology theory of relative Rota-Baxter operators on Leibniz triple systems. We use the cohomological approach to study linear and formal deformat…
Relative Rota-Baxter operators of nonzero weights on Lie Triple Systems
Xueru Wu, Yao Ma, Liangyun Chen
In this paper, we introduce the notion of a relative Rota-Baxter operator of weight on a Lie triple system with respect to an action on another Lie triple system, which can be…
Lie n-algebras and cohomologies of relative Rota-Baxter operators on n-Lie algebras
Ming Chen, Jiefeng Liu, Yao Ma
Based on the differential graded Lie algebra controlling deformations of an -Lie algebra with a representation (called an n-LieRep pair), we construct a Lie n-algebra, whose Mau…
Cohomology of Leibniz Triple Systems and its applications
Xueru Wu, Liangyun Chen, Yao Ma
In this paper, we introduce the first and third cohomology groups on Leibniz triple systems, which can be applied to extension theory and -parameter formal deformation theory. S…
Algebras of quotients and Martindale-like quotients of Leibniz algebras
Chenrui Yao, Yao Ma, Liming Tang +1
In this paper, the definitions of algebras of quotients and Martandale-like qoutients of Leibniz algebras are introduced and the interactions between the two quotients are determin…
Biderivations and commuting linear maps on Hom-Lie algebras
Bing Sun, Yao Ma, Liangyun Chen
The purpose of this paper is to determine skew-symmetric biderivations and commuting linear maps on a Hom-Lie algebra hav…