Classification of three-dimensional Nijenhuis Leibniz algebras

2025/07/16 by Tianshui Ma, Chan Zhao, Ma, Tianshui +1
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Mathematics and Applications #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2507.12692

openalex publication_date 2025/07/16 · openalex created_date 2025/10/18 · openalex updated_date 2026/07/28

Abstract

There are thirteen types of three-dimensional Leibniz algebras over the real field 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.

Citations

• Nijenhuis operators on Leibniz algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology

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