Jordan forms for mutually annihilating nilpotent pairs

DOI10.1016/j.laa.2007.09.030zbMath1140.15008arXivmath/0612300OpenAlexW2070401764MaRDI QIDQ2477527

Polona Oblak

Publication date: 14 March 2008

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

Full work available at URL: https://arxiv.org/abs/math/0612300

zbMATH Keywords

Jordan canonical formcommuting matricesnilpotent matrices

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Vector spaces, linear dependence, rank, lineability (15A03) Canonical forms, reductions, classification (15A21)

Related Items (5)

An efficient Jordan basis algorithm ⋮ Pairs of commuting nilpotent matrices, and Hilbert function ⋮ Injective strong commutativity preservers on \(\mathcal{T}_{\infty}(F)\) ⋮ Pairs of mutually annihilating operators ⋮ On pairs of commuting nilpotent matrices

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• Approximating commuting operators
• The variety of pairs of commuting nilpotent matrices is irreducible

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