Classification of nilpotent Lie algebras of nilpotency class 3 having a derived subalgebra of dimension three
Abstract
In this paper, we investigate nilpotent Lie algebras L of nilpotency class 3 and provide a complete classification of those satisfying L2 = 3 and Z(L) = L3 A(2). Furthermore, we explicitly characterize the structure of such Lie algebras in the case when L = 7.
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