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Description of characteristic non-hyperinvariant subspaces in GF(2)
Mingueza, David; Montoro López, María Eulalia; Pacha Andújar, Juan Ramón
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Given a square matrix A , an A -invariant subspace is called hyperinvariant (respectively, characteristic) if and only if it is also invariant for all matrices T (respectively, nonsingular matrices T ) that commute with A . Shoda's Theorem gives a necessary and sufficient condition for the existence of characteristic non-hyperinvariant subspaces for a nilpotent matrix in GF(2)GF(2). Here we present an explicit construction for all subspaces of this type.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística
Algebra
Hyperinvariant subspaces
Characteristic subspaces
Shoda's Theorem
Àlgebra
Classificació AMS::15 Linear and multilinear algebra; matrix theory
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/publishedVersion
Article
Elsevier
         

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