Affine spaces of symmetric or alternating matrices with bounded rank

DOI10.1016/j.laa.2016.04.026zbMath1338.15041arXiv1507.06213OpenAlexW981684396MaRDI QIDQ286172

Clément de Seguins Pazzis

Publication date: 20 May 2016

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

Full work available at URL: https://arxiv.org/abs/1507.06213

zbMATH Keywords

affine spacesranksymmetric matricesalternating matricesbounded rank spacefields with characteristic 2

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (4)

Maximal rank in matrix spaces via graph matchings ⋮ Large spaces of symmetric or alternating matrices with bounded rank ⋮ Linear spaces of symmetric nilpotent matrices ⋮ Sinkhorn-Knopp theorem for PPT states

Cites Work

• Unnamed Item
• Range-compatible homomorphisms on spaces of symmetric or alternating matrices
• Range-compatible homomorphisms on matrix spaces
• The affine preservers of non-singular matrices
• The classification of large spaces of matrices with bounded rank
• On two extremal matrix problems
• Spaces of symmetric matrices of bounded rank
• Large spaces of symmetric matrices of bounded rank are decomposable^∗
• On Spaces of Linear Transformations with Bounded Rank
• ON THE MAXIMAL RANK IN A SUBSPACE OF MATRICES
• LARGE SPACES OF MATRICES OF BOUNDED RANK
• Range-compatible homomorphisms over fields with two elements
• Spaces of \(p\)-vectors of bounded rank

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