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It is known that the dimension of the Schur multiplier of a non-abeliannilpotent Lie algebra $L$ of dimension $n$ is equal to$\frac{1}{2}(n-1)(n-2)+1-s(L)$ for some $ s(L)\geq0 $. The structure of allnilpotent Lie algebras has been given for $ s(L) \leq 4 $ in several papers.Here, we are going to give the structure of all non-abelian nilpotent Liealgebras for $s(L)=5$.

Characterization of finite dimensional nilpotent Lie algebras by the dimension of their Schur multipliers, $s(L)=5$