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
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.