Classification of three-dimensional Nijenhuis Leibniz algebras

Tianshui Ma; Chan Zhao

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arXiv · 2507.12692

Classification of three-dimensional Nijenhuis Leibniz algebras

Tianshui Ma·Chan Zhao

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Abstract

There are thirteen types of three-dimensional Leibniz algebras over the real field $\mathbb{R}$ 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.

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Tianshui Ma, Chan Zhao. 2025-07-16. Classification of three-dimensional Nijenhuis Leibniz algebras. https://arxiv.org/abs/2507.12692

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