论文标题
Nilpotent Lie Triple Systems的代数和几何分类至尺寸四
The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four
论文作者
论文摘要
在本文中，我们概括了用于对nilpotent Lie代数进行分类的Skjelbred SUND方法，以便将三个系统与非零歼灭器分类。我们开发此方法是为了对nilpotent Lie Triple Systems进行分类，从中获得Nilpotent Lie Triple Systems的代数分类至维度四。此外，我们获得了多种底层三重系统的几何分类，直到四个尺寸。
In this paper we generalize the Skjelbred Sund method, used to classify nilpotent Lie algebras, in order to classify triple systems with non zero annihilator. We develop this method with the purpose of classifying nilpotent Lie triple systems, obtaining from it the algebraic classification of the nilpotent Lie triple systems up to dimension four. Additionally, we obtain the geometric classification of the variety of nilpotent Lie triple systems up to dimension four.
