Lie triple system central extensions of Lie algebras
Representation Theory
2010-10-11 v1 K-Theory and Homology
Rings and Algebras
Abstract
Three kinds of universal central extension are considered for a perfect Lie algebra. More precisely, one can consider such a Lie algebra as a Lie triple system, or a Leibniz algebra and construct appropriate central extensions. We show that Lie triple system universal central extension is isomorphic either to Lie or Leibniz algebra universal central extension considered as a Lie triple system in appropriate way.
Keywords
Cite
@article{arxiv.1010.1760,
title = {Lie triple system central extensions of Lie algebras},
author = {Revaz Kurdiani},
journal= {arXiv preprint arXiv:1010.1760},
year = {2010}
}