Work

Nijenhuis Operators on 2D Pre-Lie Algebras and 3D Associative Algebras

Year: 2026

Type: article

Abstract: 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.

Source: Axioms

DOI: 10.3390/axioms15010080

Authors: Xiaoguang Zou, Xiang Gao, Chuangchuang Kang, Jiafeng Lü

Institutions: Shanghai University of Finance and Economics, Zhejiang College of Shanghai University of Finance and Economics, Zhejiang Normal University

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funders: National Natural Science Foundation of China, Natural Science Foundation of Zhejiang Province