On the nucleus of the Grassmann embedding of the symplectic dual polar space DSp\((2n,\mathbb F)\), char(\(\mathbb F) = 2\)

DOI10.1016/j.ejc.2008.04.001zbMath1159.51003OpenAlexW2068206656MaRDI QIDQ1003599

Rieuwert J. Blok, Ilaria Cardinali, Bart De Bruyn

Publication date: 4 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2008.04.001

zbMATH Keywords

Grassmann embeddingsymplectic dual polar space

Mathematics Subject Classification ID

Incidence structures embeddable into projective geometries (51A45)

Related Items

Hyperplanes of \(DW(5,\mathbb K)\) containing a quad, Veronesean embeddings of dual polar spaces of orthogonal type, 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, Polarized and homogeneous embeddings of dual polar spaces

Cites Work

• Projective subgrassmannians of polar Grassmannians
• The generating rank of the unitary and symplectic Grassmannians
• Minimal full polarized embeddings of dual polar spaces
• The generating rank of the symplectic Grassmannians: hyperbolic and isotropic geometry
• Symplectic subspaces of symplectic Grassmannians
• The structure of the spin-embeddings of dual polar spaces and related geometries
• A geometric description of the spin-embedding of symplectic dual polar spaces of rank 3
• A decomposition of the natural embedding spaces for the symplectic dual polar spaces
• The generating rank of the symplectic line-Grassmannian
• Classical subspaces of symplectic Grassmannians
• Minimal scattered sets and polarized embeddings of dual polar spaces
• A note on symplectic polar spaces over non-perfect fields of characteristic 2
• The weyl modules and the irreducible representations of the symplectic group with the fundamental highest weights
• Witt-Type Theorems for Grassmannians and Lie Incidence Geometries
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