- Turkish Journal of Mathematics
- Vol: 40 Issue: 5
- Some upper bounds on the dimension of the Schur multiplier of a pair of nilpotent Lie algebras
Some upper bounds on the dimension of the Schur multiplier of a pair of nilpotent Lie algebras
Authors : Behrouz Edalatzadeh
Pages : 1020-1024
View : 8 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : Pair of Lie algebras, Schur multiplier, nilpotent Lie algebra