Maximal and Minimal Triangular Matrices

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We call a nonscalar matrix maximal (or minimal) if its centralizer is maximal (respectively minimal) in the poset of all centralizers of matrices. We discuss the form of maximal and minimal matrices in the algebra of upper triangular matrices.


Centralizer triangular matrices 

Mathematics Subject Classification

15A21 13E10 


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Authors and Affiliations

  1. 1.Institute of MathematicsSilesian University of TechnologyGliwicePoland

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