Rota‐Baxter Leibniz Algebras and Their Constructions

Liangyun Zhang, Linhan Li and Huihui Zheng

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: In this paper, we introduce the concept of Rota‐Baxter Leibniz algebras and explore two characterizations of Rota‐Baxter Leibniz algebras. And we construct a number of Rota‐Baxter Leibniz algebras from Leibniz algebras and associative algebras and discover some Rota‐Baxter Leibniz algebras from augmented algebra, bialgebra, and weak Hopf algebra. In the end, we give all Rota‐Baxter operators of weight 0 and −1 on solvable and nilpotent Leibniz algebras of dimension ≤3, respectively.

Date: 2018
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https://doi.org/10.1155/2018/8540674

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:8540674

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