Spaces of matrices with a sole eigenvalue

DOI10.1080/03081087.2011.654118zbMath1260.15027arXiv1105.1872OpenAlexW3101369588MaRDI QIDQ3143324

Clément de Seguins Pazzis

Publication date: 29 November 2012

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

Full work available at URL: https://arxiv.org/abs/1105.1872

zbMATH Keywords

spectrumpositive characteristicnilpotent matriceslinear subspacesGerstenhaber theorem

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Algebraic systems of matrices (15A30)

Related Items (2)

On Gerstenhaber's theorem for spaces of nilpotent matrices over a skew field ⋮ Spaces of matrices with few eigenvalues

Cites Work

• Spaces of matrices without non-zero eigenvalues in their field of definition, and a question of Szechtman
• Linear spaces of nilpotent matrices
• On the matrices of given rank in a large subspace
• Matrix spaces with bounded number of eigenvalues
• On Nilalgebras and Linear Varieties of Nilpotent Matrices, I

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