Some upper bounds on the dimension of the Schur multiplier of a pair of nilpotent Lie algebras

Authors : Behrouz EDALATZADEH

Pages : 1020-1024

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :Let $insert ignore into journalissuearticles values(L,N);$ 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 $insert ignore into journalissuearticles values(L,N);$ 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.
Keywords : Pair of Lie algebras, Schur multiplier, nilpotent Lie algebra