Nijenhuis Operators on 2D Pre-Lie Algebras and 3D Associative Algebras
In this paper, we describe all Nijenhuis operators on 2-dimensional complex pre-Lie algebras and 3-dimensional complex associative algebras. As an application, using these operators, we obtain solutions to the classical Yang-Baxter equation on the corresponding sub-adjacent Lie algebras.
Authors
- Xiaoguang Zou (ORCID: https://orcid.org/0000-0002-8972-136X)
- Xiang Gao
- Jiafeng Lü
- Chuangchuang Kang
Institutions
- Zhejiang Normal University (CN)
- Shanghai University of Finance and Economics (CN)
Publication Details
- Journal
- Axioms
- Published
- 2026-01-22
- DOI
- https://doi.org/10.3390/axioms15010080
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00