SMALL MAXIMAL SPACES OF NON-INVERTIBLE MATRICES

DOI10.1112/S0024609306018741zbMath1112.15019arXivmath/0407240OpenAlexW2111799067MaRDI QIDQ3419063

Jan Draisma

Publication date: 6 February 2007

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407240

zbMATH Keywords

semisimple Lie algebramaximal singular spacerank of a subspace of \(\text{End}(V)\)rank-critical subspace of \(\text{End}(V)\)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (5)

Constructive Non-Commutative Rank Computation Is in Deterministic Polynomial Time. ⋮ On rank-critical matrix spaces ⋮ Uniform Determinantal Representations ⋮ Algorithms for orbit closure separation for invariants and semi-invariants of matrices ⋮ The Hilbert null-cone on tuples of matrices and bilinear forms

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