Witt-Type Theorems for Grassmannians and Lie Incidence Geometries
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Publication:4661725
DOI10.1515/advg.2005.5.1.15zbMath1074.51005OpenAlexW2042360253MaRDI QIDQ4661725
Ernest E. Shult, Bruce N. Cooperstein, Anna Kasikova
Publication date: 30 March 2005
Published in: advg (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/advg.2005.5.1.15
Lie incidence geometryincidence geometrylocal independencepartial basisparabolic subspacesingular independence
Buildings and the geometry of diagrams (51E24) Classical groups (algebro-geometric aspects) (14L35) Geometry of classical groups (51N30) Lie geometries in nonlinear incidence geometry (51B25)
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Isometric embeddings of polar Grassmannians and metric characterizations of their apartments ⋮ Characterization of some subgraphs of point-collinearity graphs of building geometries ⋮ On embeddings of Grassmann graphs in polar Grassmann graphs ⋮ Metric characterization of apartments in dual polar spaces ⋮ Isometric embeddings of half-cube graphs in half-spin Grassmannians ⋮ Base subsets of polar Grassmannians ⋮ Isometric embeddings of Johnson graphs in Grassmann graphs ⋮ Characterization of some subgraphs of point-collinearity graphs of building geometries II ⋮ On the nucleus of the Grassmann embedding of the symplectic dual polar space DSp\((2n,\mathbb F)\), char(\(\mathbb F) = 2\) ⋮ Witt-Type Theorems for Subspaces of Lie Geometries: A Survey ⋮ Convex subspace closure of the point shadow of an apartment of a spherical building
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