A geometric description of the spin-embedding of symplectic dual polar spaces of rank 3

DOI10.1016/j.jcta.2007.09.004zbMath1156.51002OpenAlexW2093653370MaRDI QIDQ941317

Ilaria Cardinali, Guglielmo Lunardon

Publication date: 4 September 2008

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.2007.09.004

zbMATH Keywords

spin-embeddingsymplectic dual polar spaceGrassmann-embedding

Mathematics Subject Classification ID

Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items

Veronesean embeddings of dual polar spaces of orthogonal type, Some remarks on the spin module representation of \(\mathrm{Sp}_6(2^e)\), Grassmann and Weyl embeddings of orthogonal Grassmannians, On certain forms and quadrics related to symplectic dual polar spaces in characteristic 2, Hyperplanes of \(DW(5,{\mathbb{K}})\) with \({\mathbb{K}}\) a perfect field of characteristic 2, On the Grassmann module of symplectic dual polar spaces of rank 4 in characteristic 3, On the nucleus of the Grassmann embedding of the symplectic dual polar space DSp\((2n,\mathbb F)\), char(\(\mathbb F) = 2\), An Outline of Polar Spaces: Basics and Advances, Polarized and homogeneous embeddings of dual polar spaces

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