Parapolar spaces are point-line geometries introduced as a geometric approach to (exceptional) algebraic groups. We characterize a wide class of Lie geometries as parapolar spaces satisfying a simple intersection property. In particular, many of the exceptional Lie incidence geometries occur. In an appendix, we extend our result to the locally disconnected case and discuss the locally disconnected case of some other well-known characterizations.

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关于异常的李几何

对极空间是作为（特殊）代数群的几何方法引入的点线几何。我们将一大类李几何描述为满足简单相交属性的对极空间。特别是，会出现许多异常的李入射几何。在附录中，我们将结果扩展到局部断开的情况，并讨论其他一些众所周知的特征的局部断开情况。