Structure of nilpotent Lie algebra by its multiplier

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

For a finite dimensional Lie algebra $L$, it is known that
$s(L)=\f{1}{2}(n-1)(n-2)+1-\mathrm{dim} M(L)$ is non negative. Moreover, the
structure of all finite nilpotent Lie algebras is characterized when $s(L)=0,1$
in \cite{ni,ni4}. In this paper, we intend to characterize all nilpotent Lie
algebra while $s(L)=2.$

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