Deformations of relative Rota-Baxter operators on Leibniz Triple Systems
Rings and Algebras
2022-10-11 v1
Abstract
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 deformations of relative Rota-Baxter operators. In particular, formal deformations and extendibility of order deformations of a relative Rota-Baxter operators are also characterized in terms of the cohomology theory. We also consider the relationship between cohomology of relative Rota-Baxter operators on Leibniz algebras and associated Leibniz triple systems.
Cite
@article{arxiv.2210.04589,
title = {Deformations of relative Rota-Baxter operators on Leibniz Triple Systems},
author = {Xueru Wu and Yao Ma and Liangyun Chen},
journal= {arXiv preprint arXiv:2210.04589},
year = {2022}
}
Comments
24pages. arXiv admin note: text overlap with arXiv:2005.00729, arXiv:2204.04872 by other authors