Classification of nilpotent Lie algebras of nilpotency class 3 having a derived subalgebra of dimension three

Saboura Yousefi, Azam Kaheni, Farangis Johari

In this paper, we investigate nilpotent Lie algebras $L$ of nilpotency class $3$ and provide a complete classification of those satisfying $\dim L^2=3$ and $Z(L) = L^3 \cong…