On the Lie algebra of a Malcev algebra
Rings and Algebras
2024-11-13 v2
Abstract
This paper develops the structure theory of a Malcev algebra via the consideration of its most important and largest Lie (sub-) algebra. We introduce the notion of a Lie algebra which uniquely corresponds to a Malcev algebra and use this correspondence to derive some basic properties of some types of ideals in the Malcev algebra. We then prove the exact nature of the root-space decomposition of a Malcev algebra.
Cite
@article{arxiv.2406.14592,
title = {On the Lie algebra of a Malcev algebra},
author = {Olufemi O. Oyadare},
journal= {arXiv preprint arXiv:2406.14592},
year = {2024}
}
Comments
10 pages of contributions of the Lie algebra to the structure of its Malcev algebra