On exceptional Lie geometries
Anneleen De Schepper, Jeroen Schillewaert, Hendrik Van Maldeghem and 1 more
Forum of Mathematics, Sigma · 2021
doi:10.1017/fms.2020.57 (opens in a new tab)
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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.
Abstract licence: CC BY-ND
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