Weighted relative Rota-Baxter operators on Leibniz algebras and Post-Leibniz algebra structures
Representation Theory
2022-02-08 v1 Rings and Algebras
Abstract
Leibniz algebras are non-skewsymmetric analogue of Lie algebras. In this paper, we consider weighted relative Rota-Baxter operators on Leibniz algebras. We define cohomology of such operators and as an application, we study their deformations. Finally, we introduce and study post-Leibniz algebras as the structure behind weighted relative Rota-Baxter operators.
Keywords
Cite
@article{arxiv.2202.03162,
title = {Weighted relative Rota-Baxter operators on Leibniz algebras and Post-Leibniz algebra structures},
author = {Apurba Das},
journal= {arXiv preprint arXiv:2202.03162},
year = {2022}
}
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