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Convex subspaces of Lie incidence geometries

Published Web Location Commons 'BY' version 4.0 license

We classify the convex subspaces of all hexagonic Lie incidence geometries (among which all long root geometries of spherical Tits-buildings). We perform a similar classification for most other Lie incidence geometries of spherical Tits-buildings, in particular for all projective and polar Grassmannians, and for exceptional Grassmannians of diameter at most 3.

Mathematics Subject Classifications: 51E24

Keywords: Buildings, parapolar spaces, long root geometries, hexagonal Lie incidence geometries

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