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arXiv · 2005.07331

On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops

Alexander Grishkov·Marina Rasskazova·Liudmila Sabinina·Mohamed Salim
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Abstract

In this note we describe the structure of finite dimensional Malcev algebras over a field of real numbers $\mathbb{R}$, which are nilpotent module its Lie center. It is proved that the corresponding analytic global Moufang loops are nilpotent module their nucleus.

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Alexander Grishkov, Marina Rasskazova, Liudmila Sabinina, Mohamed Salim. 2020-05-15. On Malcev algebras nilpotent by Lie center and corresponding analytic Moufang loops. https://arxiv.org/abs/2005.07331

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