On dimension of the 2-multiplier of nilpotent Lie algebras

This paper is devoted to the characterization of all finite dimensional nilpotent Lie algebras $L$ with $S^2(L)=0,1,2,3$, where we define $dim ~$\mathcal{M}$^{2}(L) = \dfrac{1}{3}n(n-1)(n-2)+3-S^{2}(L).$