Nilpotent Lie algebras of class 3 with 1-dimensional center and 3-dimensional derived subalgebra

Abstract

In this paper, we obtain the structure of all non-isomorphic finite-dimensional nilpotent Lie algebras L of class 3 with derived subalgebra of dimension 3 when $\mathrm{dim\hspace{0.17em}}Z(L)=1.$

Keywords:

• Nilpotent Lie algebras
• stem Lie algebras

2020 MATHEMATICS SUBJECT CLASSIFICATION:

• 17B30
• 17B05