A Note on the Schur Multiplier of a Nilpotent Lie Algebra
For a nilpotent Lie algebra L of dimension n and dim (L 2) m 1, we find the upper bound where M(L) denotes the Schur multiplier of L. In case m 1, the equality holds if and only if L H(1) A, where A is an abelian Lie algebra of dimension n 3 and H(1) is the Heisenberg algebra of dimension 3.