Adjacency preserving mappings on real symmetric matrices

2007/11/15 by Peter Legiša, Legiša, Peter
Computer Science · Mathematics · #Advanced Topics in Algebra #Finite Group Theory Research #Matrix Theory and Algorithms #math.MG #math.RA #msc:15A03 #msc:15A04 #msc:15A30 #msc:15A57 #msc:16S50 #msc:16W10 #msc:17A15 #msc:17C55

paper · pdf · doi:10.48550/arxiv.0711.2413

Latex, 20 pages

arxiv created 2007/11/15 · arxiv updated 2009/12/01

Abstract

Let S_n denote the space of all n × n real symmetric matrices. For n=2 or n>2 we characterize maps F from S_n to S_m which preserve adjacency, i.e. if rank(A-B)=1, then rank(F(A)-F(B))=1.

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