论文标题

在Lie Center和相应的分析MOUFANG环路上,在Malcev代数nilpotent上

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

论文作者

Grishkov, Alexander, Rasskazova, Marina, Sabinina, Liudmila, Salim, Mohamed

论文摘要

在本说明中,我们描述了实际数字$ \ mathbb {r} $的有限维数Malcev代数的结构,该字段是其Lie Center的Nilpotent模块。事实证明,相应的分析全局moufang环是其​​核的nilpotent模块。

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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