On Characterizing Nilpotent Lie Algebra by Their Multiplier, s(L)=6, 7

Let L be an n-dimensional non-abelian nilpotent Lie algebra and s(L) = 1/2(n - 1)(n - 2) + 1 - dim M(L) where M(L) is the Schur multiplier of a Lie algebra L. The structures of nilpotent Lie algebras L when s(L) is an element of {0, 1, 2, 3, 4, 5} are determined. In this paper, we classify all non-abelian nilpotent Lie algebras L when s(L) = 6, 7.