3 papers
math.RA2022
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…
math.RA2022
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…
math.RA2021
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…