The structured Gerstenhaber problem. III.

DOI10.1016/j.laa.2020.04.021zbMath1442.15039arXiv1908.03934OpenAlexW2963035059MaRDI QIDQ2187388

Clément de Seguins Pazzis

Publication date: 2 June 2020

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

Full work available at URL: https://arxiv.org/abs/1908.03934

zbMATH Keywords

dimensionbilinear formssymmetric matricesnilpotent matricesGerstenhaber theorem

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Quadratic and bilinear forms, inner products (15A63) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

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• On Gerstenhaber's theorem for spaces of nilpotent matrices over a skew field
• Spaces of matrices without non-zero eigenvalues in their field of definition, and a question of Szechtman
• Linear spaces of nilpotent matrices
• On linear subspaces of nilpotent elements in a Lie algebra
• Linear spaces of symmetric nilpotent matrices
• The structured Gerstenhaber problem. I.
• The structured Gerstenhaber problem. II.
• On the matrices of given rank in a large subspace
• On Nilalgebras and Linear Varieties of Nilpotent Matrices, I
• Nilpotent subspaces of maximal dimension in semi-simple Lie algebras

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