On exceptional Lie geometries

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...

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Hauptverfasser:	De Schepper, Anneleen, Schillewaert, Jeroen, Van Maldeghem, Hendrik, Victoor, Magali
Format:	Artikel
Sprache:	eng
Schlagworte:	2020 Mathematics Subject Classification: Primary – 51E24 20E42 Mathematics and Statistics Secondary – 51B25
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creator	De Schepper, Anneleen Schillewaert, Jeroen Van Maldeghem, Hendrik Victoor, Magali
description	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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source	Ghent University Academic Bibliography; Cambridge Journals Open Access; DOAJ Directory of Open Access Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals
subjects	2020 Mathematics Subject Classification: Primary – 51E24 20E42 Mathematics and Statistics Secondary – 51B25
title	On exceptional Lie geometries
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