On the hyperplanes of the half-spin geometries and the dual polar spaces \(DQ(2n, \mathbb K)\)

DOI10.1016/j.jcta.2006.10.006zbMath1123.51005OpenAlexW1604248082MaRDI QIDQ2642019

Bart De Bruyn

Publication date: 20 August 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2006.10.006

zbMATH Keywords

dual polar spacespin-embeddinghalf-spin geometrylocally singular hyperplane

Mathematics Subject Classification ID

Incidence structures embeddable into projective geometries (51A45)

Related Items (2)

Two classes of hyperplanes of dual polar spaces without subquadrangular quads ⋮ On geometric SDPS-sets of elliptic dual polar spaces

Cites Work

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• Geometric hyperplanes of Lie incidence geometries
• Hyperplanes of dual polar spaces and the spin module
• The hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings
• Near \(n\)-gons and line systems
• Dual polar spaces
• On Veldkamp lines
• Geometric hyperplanes of the half-spin geometries arise from embeddings
• Locally singular hyperplanes in thick dual polar spaces of rank 4.
• Valuations and hyperplanes of dual polar spaces
• Hyperplanes of dual polar spaces of rank 3 with no subquadrangular quad
• A Classification of Spinors Up to Dimension Twelve

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