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Relative Rota-Baxter systems on Leibniz algebras

Published 13 Jan 2021 in math.RA | (2101.04831v1)

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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Authors (2)

  1. Apurba Das 
  2. Shuangjian Guo 

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