Integral similarity and commutators of integral matrices

DOI10.1016/0024-3795(94)90509-6zbMath0801.15015OpenAlexW1997459590MaRDI QIDQ1320012

Thomas J. Laffey, Robert B. Reams

Publication date: 19 April 1994

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90509-6

zbMATH Keywords

matrix algebracanonical formscommutatorsinteger matrixtrace functionintegral similaritytraceless matrix

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Matrices of integers (15B36) Canonical forms, reductions, classification (15A21)

Related Items (5)

Commutators of trace zero matrices over principal ideal rings ⋮ Integral matrices as diagonal quadratic forms ⋮ Similarity and commutators of matrices over principal ideal rings ⋮ Elements of trace zero that are not commutators ⋮ On trace zero matrices and commutators

Cites Work

• Unnamed Item
• Unnamed Item
• On matrices of trace zero
• Some general algorithms. I: Arithmetic groups
• A classical invitation of algebraic numbers and class fields. With two appendices by Olga Taussky: ``Artin's 1932 Göttingen lectures on class field theory and ``Connections between algebraic number theory and integral matrices.
• A correspondence between classes of ideals and classes of matrices
• A rational canonical pair form for a pair of symmetric matrices over an arbitrary field F with char F ≠ 2 and applications to finest simultaneous block diagonalizations
• Gauss’ class number problem for imaginary quadratic fields
• Matrices Over Polynomial Rings
• Choices for A in the Matrix Equation T=AB-BA
• On a Theorem of Latimer and Macduffee

This page was built for publication: Integral similarity and commutators of integral matrices