Geodesic
On exceptional Lie geometries
Forum of Mathematics, Sigma, Tome 9 (2021)

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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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     author = {Anneleen De Schepper and Jeroen Schillewaert and Hendrik Van Maldeghem and Magali Victoor},
     title = {On exceptional {Lie} geometries},
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Anneleen De Schepper; Jeroen Schillewaert; Hendrik Van Maldeghem; Magali Victoor. On exceptional Lie geometries. Forum of Mathematics, Sigma, Tome 9 (2021). doi: 10.1017/fms.2020.57

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