Classification of nilpotent Lie algebras of nilpotency class 3 having a derived subalgebra of dimension three
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 A(2). $ Furthermore, we explicitly characterize the structure of such Lie algebras in the case when $ \dim L = 7. $
math.GR↗