Adjacency preserving mappings of invariant subspaces of a null system

DOI10.1090/S0002-9939-99-05456-8zbMath0955.51004OpenAlexW1916200167MaRDI QIDQ4955843

Wen-ling Huang

Publication date: 22 May 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05456-8

zbMATH Keywords

epimorphismsdual polar spacessymmetric matricesLie transformationsnull systemadjacency preserving mappingsorthogonal generalized quadrangles

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Polar geometry, symplectic spaces, orthogonal spaces (51A50) Lie geometries in nonlinear incidence geometry (51B25)

Related Items (6)

Metric characterization of apartments in dual polar spaces ⋮ Transformations of polar Grassmannians preserving certain intersecting relations ⋮ Geometry of self-dual flats over a PID on a polarity ⋮ Lie sphere geometry in Hilbert spaces ⋮ Characterization of the transformation group of the space of a null system ⋮ Base subsets in symplectic Grassmannians of small indices

Cites Work

• Geometry of symmetric matrices over any field with characteristic other than two
• On the geometry of algebraic homogeneous spaces
• Geometries of Matrices. III. Fundamental Theorems in the Geometries of Symmetric Matrices
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