Deformations of relative Rota-Baxter operators on Leibniz algebras
Rings and Algebras
2021-02-26 v1
Abstract
In this paper, we introduce the cohomology theory of relative Rota-Baxter operators on Leibniz algebras. We use the cohomological approach to study linear and formal deformations of relative Rota-Baxter operators. In particular, the notion of Nijenhuis elements is introduced to characterize trivial linear deformations. Formal deformations and extendibility of order n deformations of a relative Rota-Baxter operator are also characterized in terms of the cohomology theory.
Cite
@article{arxiv.2005.00729,
title = {Deformations of relative Rota-Baxter operators on Leibniz algebras},
author = {Rong Tang and Yunhe Sheng and Yanqiu Zhou},
journal= {arXiv preprint arXiv:2005.00729},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1803.09287