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Convex subspaces of Lie incidence geometries
Published Web Location
https://doi.org/10.5070/C62359169Abstract
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