Characteristic and hyperinvariant subspaces over the field \(\mathrm{GF}(2)\)

DOI10.1016/j.laa.2011.03.047zbMath1263.15007arXiv1603.06228OpenAlexW2962711867MaRDI QIDQ1940310

Pudji Astuti, Harald K. Wimmer

Publication date: 6 March 2013

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

Full work available at URL: https://arxiv.org/abs/1603.06228

zbMATH Keywords

eigenvaluesinvariant subspacescharacteristic subspaceshyperinvariant subspacesJordan bases

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Invariant subspaces of linear operators (47A15) Canonical forms, reductions, classification (15A21)

Related Items (7)

Computing the cardinality of the lattice of characteristic subspaces ⋮ Monomial codes seen as invariant subspaces ⋮ Description of characteristic non-hyperinvariant subspaces over the field \(GF(2)\) ⋮ Characteristic subspaces and hyperinvariant frames ⋮ Characteristic invariant subspaces generated by a single vector ⋮ The lattice of characteristic subspaces of an endomorphism with Jordan-Chevalley decomposition ⋮ The characteristic subspace lattice of a linear transformation

Cites Work

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• Note on extensions of Abelian groups by primary groups
• Linear transformations with characteristic subspaces that are not hyperinvariant
• Regular submodules of torsion modules over a discrete valuation domain
• Hyperinvariant, characteristic and marked subspaces
• Some Results on Abelian Groups

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