Hyperplanes and projective embeddings of dual polar spaces

DOI10.1007/s00022-011-0084-0zbMath1255.51001OpenAlexW2015399240MaRDI QIDQ408958

Bart De Bruyn

Publication date: 12 April 2012

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/2027075

zbMATH Keywords

hyperplaneprojective embeddingdual polar spacepolarized embeddingSDPS-set

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Cites Work

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• Embeddings and hyperplanes of discrete geometries
• Minimal full polarized embeddings of dual polar spaces
• A characterization of the SDPS-hyperplanes of dual polar spaces
• On geometric SDPS-sets of elliptic dual polar spaces
• On the simple connectedness of hyperplane complements in dual polar spaces. II.
• On the Grassmann modules for the symplectic groups
• A decomposition of the natural embedding spaces for the symplectic dual polar spaces
• On the simple connectedness of hyperplane complements in dual polar spaces
• Generating symplectic and Hermitian dual polar spaces over arbitrary fields nonisomorphic to \(\mathbb F_{2}\)
• Some subspaces of the \(k\)th exterior power of a symplectic vector space
• The uniqueness of the SDPS-set of the symplectic dual polar space \(DW(4n - 1,q),n\geq 2\)
• Near \(n\)-gons and line systems
• Dual polar spaces
• Buildings of spherical type and finite BN-pairs
• On the generation of dual polar spaces of symplectic type over finite fields
• On the generation of dual polar spaces of unitary type over finite fields
• On the universal embedding of the \(U_{2n}(2)\) dual polar space
• The universal embedding dimension of the binary symplectic dual polar space
• Flag-transitive hyperplane complements in classical generalized quadrangles
• On extensions of hyperplanes of dual polar spaces
• Valuations and hyperplanes of dual polar spaces
• Minimal scattered sets and polarized embeddings of dual polar spaces
• A note on embedding and generating dual polar spaces
• On the Grassmann modules for the unitary groups
• UNIVERSAL PROJECTIVE EMBEDDINGS OF THE GRASSMANNIAN, HALF SPINOR, AND DUAL ORTHOGONAL GEOMETRIES
• On symplectic polar spaces over non-perfect fields of characteristic 2
• On the Grassmann-embeddings of the hermitian dual polar spaces
• The weyl modules and the irreducible representations of the symplectic group with the fundamental highest weights
• The ovoidal hyperplanes of a dual polar space of rank 4
• Absolute embeddings of point-line geometries
• On the universal embedding of the \(Sp_{2n}(2)\) dual polar space

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