Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1504-9
Keywords
Pair of Lie algebras, Schur multiplier, nilpotent Lie algebra
First Page
1020
Last Page
1024
Recommended Citation
EDALATZADEH, B (2016). Some upper bounds on the dimension of the Schur multiplierof a pair of nilpotent Lie algebras. Turkish Journal of Mathematics 40 (5): 1020-1024. https://doi.org/10.3906/mat-1504-9
