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arXiv · 2102.09752

Twisted relative Rota-Baxter operators on Leibniz algebras and NS-Leibniz algebras

Apurba Das·Shuangjian Guo
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Abstract

In this paper, we introduce twisted relative Rota-Baxter operators on a Leibniz algebra as a generalization of twisted Poisson structures. We define the cohomology of a twisted relative Rota-Baxter operator $K$ as the Loday-Pirashvili cohomology of a certain Leibniz algebra induced by $K$ with coefficients in a suitable representation. Then we consider formal deformations of twisted relative Rota-Baxter operators from cohomological points of view. Finally, we introduce and study NS-Leibniz algebras as the underlying structure of twisted relative Rota-Baxter operators.

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BibTeXRIS

Apurba Das, Shuangjian Guo. 2021-02-19. Twisted relative Rota-Baxter operators on Leibniz algebras and NS-Leibniz algebras. https://arxiv.org/abs/2102.09752

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