Bounded distance preserving surjections in the geometry of matrices

DOI10.1016/j.laa.2010.07.013zbMath1229.15021OpenAlexW1973886383MaRDI QIDQ603128

Wen-ling Huang

Publication date: 5 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.07.013

zbMATH Keywords

Hermitian matricessymmetric matricesgeometry of matricesGrassmann spaceadjacency preserving mappingalternate matricesbounded distance preserver

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic systems of matrices (15A30) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Related Items (5)

Maps related to polar spaces preserving a Weyl distance or an incidence condition ⋮ Geometric structures on finite- and infinite-dimensional Grassmannians ⋮ Bounded distance preserving surjections in the projective geometry of matrices ⋮ Automorphisms of the total digraph for the ring of square matrices over a field ⋮ Transformations of polar Grassmannians preserving certain intersecting relations

Cites Work

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• Preservers of matrix pairs with bounded distance
• Diameter preserving surjections in the geometry of matrices
• Surjections on Grassmannians preserving pairs of elements with bounded distance

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