Classification of three-dimensional Nijenhuis Leibniz algebras
Rings and Algebras
2025-07-18 v1
Abstract
There are thirteen types of three-dimensional Leibniz algebras over the real field based on the classification given by S. Ayupov, B. Omirov and I. Rakhimov in [Leibniz algebras: structure and classification. CRC Press, Boca Raton, FL, 2020]. In this paper, we investigate all the Nijenhuis operators on these thirteen types of three-dimensional Leibniz algebras.
Cite
@article{arxiv.2507.12692,
title = {Classification of three-dimensional Nijenhuis Leibniz algebras},
author = {Tianshui Ma and Chan Zhao},
journal= {arXiv preprint arXiv:2507.12692},
year = {2025}
}
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25 pages