Two-generated commutative matrix subalgebras

DOI10.1016/0024-3795(91)90236-PzbMath0718.15008MaRDI QIDQ2639125

Thomas J. Laffey, Susan Lazarus

Publication date: 1991

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

zbMATH Keywords

Jordan canonical formtwo-generated commutative matrix subalgebras

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Algebraic systems of matrices (15A30)

Related Items (16)

The length function and matrix algebras ⋮ On the dimension of the algebra generated by two positive semi-commuting matrices ⋮ On the structure of commutative matrices. II ⋮ Commutative nilpotent subalgebras with nilpotency index \(n-1\) in the algebra of matrices of order \(n\) ⋮ A note on commuting pairs of matrices ⋮ Classification of matrix subalgebras of length 1. ⋮ Some Combinatorial Cases of the Three Matrix Analog of Gerstenhaber’s Theorem (Research) ⋮ Some thoughts on Gerstenhaber's theorem ⋮ On varieties of commuting nilpotent matrices ⋮ Commuting pairs and triples of matrices and related varieties ⋮ Approximating commuting operators ⋮ New classes of examples satisfying the three matrix analog of Gerstenhaber's theorem ⋮ Commutative matrix subalgebras and length function ⋮ A variety of commuting triples ⋮ Commuting pairs in the centralizers of 2-regular matrices ⋮ On approximately simultaneously diagonalizable matrices

Cites Work

• Unnamed Item
• Ein Satz von I. Schur über vertauschbare Matrizen
• The minimal dimension of maximal commutative subalgebras of full matrix algebras
• Similarity of matrices over local rings
• On dominance and varieties of commuting matrices
• Maximal commutative subalgebras of K\(_n\) at exponent three

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