论文标题

关于特殊的谎言几何形状

On exceptional Lie geometries

论文作者

De Schepper, Anneleen, Schillewaert, Jeroen, Van Maldeghem, Hendrik, Victoor, Magali

论文摘要

偏极空间是引入的点线几何形状,作为(特殊)代数组的几何方法。我们将广泛的谎言几何形状表征为满足简单交叉特性的偏极空间。特别是发生了许多特殊的谎言发生率。 {在附录中,我们将结果扩展到本地断开的情况,并讨论其他一些已知的特征的本地断开案例。

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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