论文标题

EVI类型对称空间的几何形状

Geometry of symmetric spaces of type EVI

论文作者

Petrov, Victor A., Semenov, Andrei V.

论文摘要

我们将Atsuyama的结果概括为EVI类型的对称空间的几何形状,即特征零的任意领域。我们将两个点的可能相互位置与平衡符号三元代数的分类(也称为Freudenthal Triple Systems)联系起来。

We generalize Atsuyama's result on the geometry of symmetric spaces of type EVI to the case of arbitrary field of characteristic zero. We relate the possible mutual positions of two points with the classification of balanced symplectic ternary algebras (also known as Freudenthal triple systems).

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