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Convex subspaces of Lie incidence geometries

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Publication:5051462
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DOI10.5070/C62359169zbMath1503.51005MaRDI QIDQ5051462

Van Maldeghem, Hendrik, Jeroen Meulewaeter

Publication date: 23 November 2022

Published in: Combinatorial Theory (Search for Journal in Brave)


zbMATH Keywords

buildingsparapolar spaceshexagonal Lie incidence geometrieslong root geometries


Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24)





Cites Work

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  • Characterization of apartments in polar Grassmannians
  • Points and lines. Characterizing the classical geometries
  • A characterization of some geometries of Lie type
  • Root shadow spaces
  • Dual polar spaces
  • Buildings of spherical type and finite BN-pairs
  • On transparent embeddings of point-line geometries
  • Parapolar spaces with the ``haircut axiom
  • An axiom system for metasymplectic spaces
  • Inner ideals in Lie algebras and spherical buildings
  • A characterization of point shadows of residues in building geometries
  • Point-line characterizations of Lie geometries
  • Diagram Geometry
  • Buildings
  • Convex subspace closure of the point shadow of an apartment of a spherical building
  • Buildings of exceptional type in buildings of type $\mathsf{E_7}$
  • Some combinatorial and geometric constructions of spherical buildings




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