On the dimension of linear spaces of nilpotent matrices

DOI10.1016/j.laa.2011.10.028zbMath1236.15038OpenAlexW2066013849MaRDI QIDQ2427913

Lowell Sweet, J. A. MacDougall, Gordon Wilson MacDonald

Publication date: 19 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.10.028

zbMATH Keywords

subspacerankmatrixnilpotentmaximal dimensionnilindex

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Groups and semigroups of linear operators (47D03) Algebraic systems of matrices (15A30)

Related Items (7)

On commutative finite-dimensional nilalgebras ⋮ On maximal nilspaces of matrices ⋮ On Gerstenhaber's theorem for spaces of nilpotent matrices over a skew field ⋮ The structured Gerstenhaber problem. I. ⋮ The structured Gerstenhaber problem. II. ⋮ Connections between graphs and matrix spaces ⋮ Linear spaces of symmetric nilpotent matrices

Cites Work

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• Linear spaces of nilpotent matrices
• The maximum dimension of a subspace of nilpotent matrices of index 2
• Linear spaces of Toeplitz and nilpotent matrices
• On nilalgebras and linear varieties of nilpotent matrices. IV
• On Nilalgebras and Linear Varieties of Nilpotent Matrices, I

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