Minimal full polarized embeddings of dual polar spaces
From MaRDI portal
Publication:855307
DOI10.1007/s10801-006-0013-8zbMath1110.51003OpenAlexW2066827044MaRDI QIDQ855307
Bart De Bruyn, Antonio Pasini, Ilaria Cardinali
Publication date: 5 January 2007
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10801-006-0013-8
Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)
Related Items
The hyperplanes of the \(U_{4}(3)\) near hexagon, The hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings, Hyperplanes of \(DW(5,\mathbb K)\) containing a quad, Veronesean embeddings of dual polar spaces of orthogonal type, 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, Highest weight modules and polarized embeddings of shadow spaces, On certain forms and quadrics related to symplectic dual polar spaces in characteristic 2, The structure of the spin-embeddings of dual polar spaces and related geometries, Direct constructions of hyperplanes of dual polar spaces arising from embeddings, A property of isometric mappings between dual polar spaces of type \(DQ(2n,{\mathbb{K}})\), A geometric description of the spin-embedding of symplectic dual polar spaces of rank 3, Three homogeneous embeddings of \(\mathit{DW}(2n-1,2)\), Two new classes of hyperplanes of the dual polar space \(DH(2n-1,4)\) not arising from the Grassmann embedding, Hyperplanes of \(DW(5,{\mathbb{K}})\) with \({\mathbb{K}}\) a perfect field of characteristic 2, Grassmann embeddings of polar Grassmannians, The hyperplanes of \(DQ^-(7,\mathbb K)\) arising from embedding, On the Grassmann module of symplectic dual polar spaces of rank 4 in characteristic 3, On the Grassmann modules for the symplectic groups, On the Grassmann modules for the unitary groups, The hyperplanes of \(DW(5,2^h)\)which arise 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, The combinatorial properties of the hyperplanes of \(D\)W\((5,q)\) arising from embedding, Polarized and homogeneous embeddings of dual polar spaces
Cites Work
- Embeddings and hyperplanes of discrete geometries
- Embeddings of small generalized polygons
- The structure of near polygons with quads
- Near \(n\)-gons and line systems
- Verallgemeinerte Vierecke in projektiven Räumen
- Generalized quadrangles in projective spaces
- Buildings of spherical type and finite BN-pairs
- On the generation of dual polar spaces of symplectic type over finite fields
- On Veldkamp lines
- On the generation of dual polar spaces of unitary type over finite fields
- Embeddings and expansions
- 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
- Absolute embeddings of point-line geometries
- Unnamed Item
- Unnamed Item
- Unnamed Item
