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, BEHROUZ
(2016)
"Some upper bounds on the dimension of the Schur multiplierof a pair of nilpotent Lie algebras,"
Turkish Journal of Mathematics: Vol. 40:
No.
5, Article 8.
https://doi.org/10.3906/mat-1504-9
Available at:
https://journals.tubitak.gov.tr/math/vol40/iss5/8
