•  
  •  
 

Turkish Journal of Mathematics

DOI

10.3906/mat-1504-9

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.

First Page

1020

Last Page

1024

Included in

Mathematics Commons

Share

COinS