Morphisms of projective geometries and semilinear maps

DOI10.1007/BF01263998zbMath0826.51002OpenAlexW2095056918MaRDI QIDQ1345120

Claude-Alain Faure, Alfred Frölicher

Publication date: 26 February 1995

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01263998

zbMATH Keywords

collineationssemilinear mapsfundamental theorems of projective geometry

Mathematics Subject Classification ID

General theory of linear incidence geometry and projective geometries (51A05) Homomorphism, automorphism and dualities in linear incidence geometry (51A10)

Related Items (23)

Applying projective geometry to transformations on rank one idempotents ⋮ A characterization of geometrical mappings of Grassmann spaces ⋮ Wigner's type theorem in terms of linear operators which send projections of a fixed rank to projections of other fixed rank ⋮ Dualities for infinite-dimensional projective geometries ⋮ Closure categories ⋮ Geometric version of Wigner's theorem for Hilbert Grassmannians ⋮ The geometry of discrete \(L\)-algebras ⋮ Embeddings of Grassmann graphs ⋮ Projective geometries over lattices and their morphisms ⋮ Proto-exact categories of modules over semirings and hyperrings ⋮ A geometric approach to Wigner‐type theorems ⋮ The fundamental theorem of affine geometry ⋮ Isometric embeddings of half-cube graphs in half-spin Grassmannians ⋮ The hyperring of adèle classes ⋮ Phase-isometries between normed spaces ⋮ Base subsets of symplectic Grassmannians ⋮ Projective geometries over rings and modular lattices ⋮ Geometrical characterization of semilinear isomorphisms of vector spaces and semilinear homeomorphisms of normed spaces ⋮ Unnamed Item ⋮ Physical Traces ⋮ Projective geometry in characteristic one and the epicyclic category ⋮ Characterizations of strong semilinear embeddings in terms of general linear and projective linear groups ⋮ Base subsets in symplectic Grassmannians of small indices

Cites Work

• Morphisms of projective geometries and of corresponding lattices
• A local fundamental theorem for projections
• Kollineationen auf Drei-und Vierecken in der Desarguesschen projektiven Ebene und Äquivalenz der Dreiecksnomogramme und der Dreigewebe von Loops mit der Isotopie-Isomorphie-Eigenschaft
• Unnamed Item
• Unnamed Item
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