Behrouz EDALATZADEH

Abstract

Let (L, N) be a pair of Lie algebras where N is an ideal of the finite dimensional nilpotent Lie algebra L. Some upper bounds on the dimension of the Schur multiplier of (L, N) are obtained without considering the existence of a complement for N . These results are applied to derive a new bound on the dimension of the Schur multiplier of a nilpotent Lie algebra.