The optimal version of Hua's fundamental theorem of geometry of square matrices -- the low dimensional case

DOI10.1016/j.laa.2014.08.014zbMath1334.15005OpenAlexW2064147737MaRDI QIDQ269246

Wen-ling Huang, Peter Šemrl

Publication date: 18 April 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2014.08.014

zbMATH Keywords

adjacency preserving mapgeometry of matricesmatrix over a division ring

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03) Linear incidence geometry (51A99)

Related Items (6)

On \(n\)-norm preservers and the Aleksandrov conservative \(n\)-distance problem ⋮ Coherence invariant maps on order-3 symmetric tensors ⋮ Nonstandard rank-one nonincreasing maps on symmetric matrices ⋮ Coherence invariant maps on tensor products ⋮ Graph homomorphisms on rectangular matrices over division rings II ⋮ Endomorphisms of the poset of idempotent matrices

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• Adjacency Preserving Maps on Hermitian Matrices
• Geometries of Matrices. II. Study of Involutions in the Geometry of Symmetric Matrices
• Geometries of Matrices. III. Fundamental Theorems in the Geometries of Symmetric Matrices
• Geometries of Matrices. I 1 Arithmetical Construction

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