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arXiv · 2101.04831

Relative Rota-Baxter systems on Leibniz algebras

Apurba Das·Shuangjian Guo
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Abstract

In this paper, we introduce relative Rota-Baxter systems on Leibniz algebras and give some characterizations and new constructions. Then we construct a graded Lie algebra whose Maurer-Cartan elements are relative Rota-Baxter systems. This allows us to define a cohomology theory associated with a relative Rota-Baxter system. Finally, we study formal deformations and extendibility of finite order deformations of a relative Rota-Baxter system in terms of the cohomology theory.

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Apurba Das, Shuangjian Guo. 2021-01-13. Relative Rota-Baxter systems on Leibniz algebras. https://arxiv.org/abs/2101.04831

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