On varieties of commuting triples. II.

DOI10.1016/j.laa.2011.08.014zbMath1323.15012OpenAlexW4205787887MaRDI QIDQ426032

Klemen Šivic

Publication date: 11 June 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.2011.08.014

zbMATH Keywords

approximation by 1-regular matrices\(r\)-regular matricescommuting pairs in the centralizer of a matrixvarieties of triples of commuting matrices

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21) Elementary questions in algebraic geometry (14A25)

Related Items

Bound on the Jordan type of a generic nilpotent matrix commuting with a given matrix, Some thoughts on Gerstenhaber's theorem, On varieties of commuting nilpotent matrices, Nilpotent matrices having a given Jordan type as maximum commuting nilpotent orbit, New classes of examples satisfying the three matrix analog of Gerstenhaber's theorem

Cites Work

• Commuting pairs in the centralizers of 2-regular matrices
• Two-generated commutative subalgebras of \(M_ n(F)\)
• On the structure of commutative matrices. II
• A variety of commuting triples
• Commuting pairs and triples of matrices and related varieties
• On varieties of commuting triples
• On dominance and varieties of commuting matrices
• Pairs of Matrices With Property L. II
• Jet schemes of the commuting matrix pairs scheme
• A note on commuting pairs of matrices
• Commuting triples of matrices
• Introduction to Lie Algebras and Representation Theory
• Approximating commuting operators