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On the generation of some Lie-type geometries

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Publication:2084985
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DOI10.1016/j.jcta.2022.105673zbMath1498.51010arXiv1912.03484OpenAlexW4294837579WikidataQ114162617 ScholiaQ114162617MaRDI QIDQ2084985

Antonio Pasini, Ilaria Cardinali, Luca Giuzzi

Publication date: 14 October 2022

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.03484

zbMATH Keywords

generationsubgeometryGrassmann geometry\( A_n\)\(D_n\)Coxeter building


Mathematics Subject Classification ID

Buildings and the geometry of diagrams (51E24) Lie geometries in nonlinear incidence geometry (51B25)




Cites Work

  • Embeddings and hyperplanes of discrete geometries
  • Points and lines. Characterizing the classical geometries
  • Buildings of spherical type and finite BN-pairs
  • On the geometry of the adjoint representation of a Chevalley group
  • Spanning point-line geometries in buildings of spherical type
  • Generating long root subgroup geometries of classical groups over finite prime fields
  • Frames and bases of Lie incidence geometries
  • On absolutely universal embeddings
  • A note on embeddable \(\mathbb{F}_2\)-geometries
  • The generating rank of a polar Grassmannian
  • Grassmann and Weyl embeddings of orthogonal Grassmannians
  • Diagram Geometry
  • Absolute embeddings of point-line geometries
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