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A property of isometric mappings between dual polar spaces of type \(DQ(2n,{\mathbb{K}})\)

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Publication:659591
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DOI10.1007/S00026-010-0061-6zbMath1235.51003OpenAlexW2035634759MaRDI QIDQ659591

Bart De Bruyn

Publication date: 24 January 2012

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-010-0061-6


zbMATH Keywords

isometric embeddingdual polar spacefull embeddingspin-embedding


Mathematics Subject Classification ID

Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)


Related Items (1)

Direct constructions of hyperplanes of dual polar spaces arising from embeddings




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Minimal full polarized embeddings of dual polar spaces
  • The hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings
  • The structure of the spin-embeddings of dual polar spaces and related geometries
  • Two classes of hyperplanes of dual polar spaces without subquadrangular quads
  • Dual polar spaces
  • On Veldkamp lines
  • Minimal scattered sets and polarized embeddings of dual polar spaces




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