On the universal embedding of the \(U_{2n}(2)\) dual polar space

DOI10.1006/jcta.2001.3211zbMath1003.51002OpenAlexW2065336450MaRDI QIDQ1601434

Paul Li

Publication date: 13 January 2003

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.2001.3211

Mathematics Subject Classification ID

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

Related Items

Projective embeddings of dual polar spaces of mixed type, Minimal scattered sets and polarized embeddings of dual polar spaces, The hyperplanes of the \(U_{4}(3)\) near hexagon, Hyperplanes and projective embeddings of dual polar spaces, On extensions of hyperplanes of dual polar spaces, The structure of full polarized embeddings of symplectic and Hermitian dual polar spaces, The pseudo-hyperplanes and homogeneous pseudo-embeddings of the generalized quadrangles of order \((3,t)\), The generating rank of the unitary and symplectic Grassmannians, On sets of odd type of \(\mathrm{PG}(n,4)\) and the universal embedding of the dual polar space \(\mathrm{DH}(2n-1,4)\), Pseudo-embeddings of the (point, \(k\)-spaces)-geometry of \(\mathrm{PG}(n,2)\) and projective embeddings of \(\mathrm{DW}(2n-1,2)\), The generating rank of the \(U_{4}(3)\) near hexagon, The generating rank of a polar Grassmannian, Two new classes of hyperplanes of the dual polar space \(DH(2n-1,4)\) not arising from the Grassmann embedding, Polarized and homogeneous embeddings of dual polar spaces

Cites Work

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• On the universal embedding of the near-hexagon for \(U_ 4(3)\)
• On the universal embedding of dual polar spaces of type \(Sp_{2n}(2)\)
• Hyperplane sections of Kantor's unitary ovoids
• On the universal embedding of the \(Sp_{2n}(2)\) dual polar space