Nijenhuis operators on 2D pre-Lie algebras and 3D associative algebras
arXiv:2308.12121
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 of the classical Yang-Baxter equation on the corresponding sub-adjacent Lie algebras.