Schur Multipliers of Nilpotent Lie Algebras
Rings and Algebras
2011-03-10 v1
Abstract
We consider the Schur multipliers of finite dimensional nilpotent Lie algebras. If the algebra has dimension greater than one, then the Schur multiplier is non-zero. We give a direct proof of an upper bound for the dimension of the Schur multiplier as a function of class and the minimum number of generators of the algebra. We then compare this bound with another known bound.
Cite
@article{arxiv.1103.1812,
title = {Schur Multipliers of Nilpotent Lie Algebras},
author = {Lindsey R. Bosko and Ernie L. Stitzinger},
journal= {arXiv preprint arXiv:1103.1812},
year = {2011}
}
Comments
4 pages