Picturing the lattice of invariant subspaces of a nilpotent complex matrix

DOI10.1016/0024-3795(84)90121-6zbMath0526.15003OpenAlexW2047491829MaRDI QIDQ594963

William Ellison Longstaff

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90121-6

zbMATH Keywords

diagrammatic representationHasse diagramlattice of invariant subspaceslattice of hyperinvariant subspacesnilpotent transformation

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (4)

Characteristic and hyperinvariant subspaces over the field \(\mathrm{GF}(2)\) ⋮ Characteristic subspaces and hyperinvariant frames ⋮ Characteristic invariant subspaces generated by a single vector ⋮ Reduced Lattices of Synchrony Subspaces and Their Indices

Cites Work

• The hyperinvariant subspace lattice of a linear transformation
• The Invariant Subspace Lattice of a Linear Transformation

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