The structure of nilpotent Lie algebras of class two with derived subalgebra of dimension two

Abstract

In this paper, the structure of all finite-dimensional nilpotent Lie algebras of class two with derived subalgebra of dimension two over an arbitrary field $\mathbb{F}$ is determined. Furthermore, we give the structure of the Schur multiplier of such Lie algebras.

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Cited by in corpus (1)

• On characterizing nilpotent Lie algebra by their multiplier, $ s(L)=6, 7