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arXiv · 2012.11277

On exceptional Lie geometries

Anneleen De Schepper·Jeroen Schillewaert·Hendrik Van Maldeghem·Magali Victoor
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Abstract

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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Anneleen De Schepper, Jeroen Schillewaert, Hendrik Van Maldeghem, Magali Victoor. 2020-12-21. On exceptional Lie geometries. https://doi.org/10.1017/fms.2020.57

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