Let L be an n-dimensional non-abelian nilpotent Lie algebra and s(L) = 1 2 (n − 1)(n − 2) + 1 − dimM(L) where M(L) is the Schur multiplier of… Click to show full abstract
Let L be an n-dimensional non-abelian nilpotent Lie algebra and s(L) = 1 2 (n − 1)(n − 2) + 1 − dimM(L) where M(L) is the Schur multiplier of a Lie algebra L. The structures of nilpotent Lie algebras L when s(L) ∈ {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.
               
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