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arxiv: 2012.11277 · v1 · pith:6WQLZEEE · submitted 2020-12-21 · math.CO

On exceptional Lie geometries

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keywords geometriesexceptionalcasedisconnectedlocallyparapolarspacesalgebraic
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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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