The hyperplanes of DW(5,F) arising from the Grassmann embedding

DOI10.13001/1081-3810.3097zbMath1375.15042OpenAlexW2586454022MaRDI QIDQ4594656

Mariusz Kwiatkowski, Bart De Bruyn

Publication date: 24 November 2017

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.13001/1081-3810.3097

zbMATH Keywords

symplectic grouphyperplaneexterior powerGrassmann embeddingsymplectic dual polar spacetrivector

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Incidence structures embeddable into projective geometries (51A45) Exterior algebra, Grassmann algebras (15A75) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Cites Work

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• On the trivectors of a 6-dimensional symplectic vector space. II
• Hyperplanes of \(DW(5,{\mathbb{K}})\) with \({\mathbb{K}}\) a perfect field of characteristic 2
• The hyperplanes of \(DW(5,2^h)\)which arise from embedding
• Points and hyperplanes of the universal embedding space of the dual polar space DW\((5,q)\), \(q\) odd
• On the generation of dual polar spaces of symplectic type over finite fields
• The classification of the trivectors of a six-dimensional symplectic space: Summary, consequences and connections
• Trilinear alternating forms on a vector space of dimension 7
• A Classification of Spinors Up to Dimension Twelve
• The Hyperplanes ofDW(5, 2)

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