The maximum dimension of a subspace of nilpotent matrices of index 2

DOI10.1016/j.laa.2009.03.048zbMath1175.15015OpenAlexW2023812911MaRDI QIDQ836994

J. A. MacDougall, Lowell Sweet

Publication date: 10 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.03.048

zbMATH Keywords

nilpotent matrixmatrix rank

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30)

Related Items

On maximal nilspaces of matrices, An algebraic groups perspective on Erdős–Ko–Rado, On the dimension of linear spaces of nilpotent matrices

Cites Work

• Linear spaces of Toeplitz and nilpotent matrices
• On nilalgebras and linear varieties of nilpotent matrices. III
• On Spaces of Linear Transformations with Bounded Rank
• ON THE MAXIMAL RANK IN A SUBSPACE OF MATRICES
• LARGE SPACES OF MATRICES OF BOUNDED RANK