On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops
Rings and Algebras
2020-05-18 v1
Abstract
In this note we describe the structure of finite dimensional Malcev algebras over a field of real numbers , which are nilpotent module its Lie center. It is proved that the corresponding analytic global Moufang loops are nilpotent module their nucleus.
Keywords
Cite
@article{arxiv.2005.07331,
title = {On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops},
author = {Alexander Grishkov and Marina Rasskazova and Liudmila Sabinina and Mohamed Salim},
journal= {arXiv preprint arXiv:2005.07331},
year = {2020}
}