The structure of the spin-embeddings of dual polar spaces and related geometries

DOI10.1016/j.ejc.2007.06.001zbMath1146.51003OpenAlexW2051128091MaRDI QIDQ925027

Bart De Bruyn

Publication date: 29 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2007.06.001

zbMATH Keywords

dual polar spacepolar spacespin-embeddingpolarized embeddingdense near polygon

Mathematics Subject Classification ID

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

Related Items

The hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings, Veronesean embeddings of dual polar spaces of orthogonal type, A decomposition of the universal embedding space for the near polygon \({{\mathbb H}_n}\), A property of isometric mappings between dual polar spaces of type \(DQ(2n,{\mathbb{K}})\), Pseudo-embeddings of the (point, \(k\)-spaces)-geometry of \(\mathrm{PG}(n,2)\) and projective embeddings of \(\mathrm{DW}(2n-1,2)\), Two classes of hyperplanes of dual polar spaces without subquadrangular quads, The hyperplanes of \(DQ^-(7,\mathbb K)\) arising from embedding, 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

Cites Work

• Embeddings and hyperplanes of discrete geometries
• Near polygons with a nice chain of sub-near polygons
• Hyperplanes of dual polar spaces and the spin module
• Minimal full polarized embeddings of dual polar spaces
• The hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings
• A decomposition of the natural embedding spaces for the symplectic dual polar spaces
• The structure of near polygons with quads
• Near \(n\)-gons and line systems
• Dual polar spaces
• On Veldkamp lines
• Near polygons and Fischer spaces
• Minimal scattered sets and polarized embeddings of dual polar spaces
• A note on embedding and generating dual polar spaces
• UNIVERSAL PROJECTIVE EMBEDDINGS OF THE GRASSMANNIAN, HALF SPINOR, AND DUAL ORTHOGONAL GEOMETRIES
• A note on symplectic polar spaces over non-perfect fields of characteristic 2
• The structure of full polarized embeddings of symplectic and Hermitian dual polar spaces
• On the Grassmann-embeddings of the hermitian dual polar spaces
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