Generators of matrix algebras in dimension 2 and 3

DOI10.1016/j.laa.2006.05.022zbMath1161.15007OpenAlexW2035859536WikidataQ60690950 ScholiaQ60690950MaRDI QIDQ957986

Helmer Aslaksen, Arne B. Sletsjøe

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.05.022

zbMATH Keywords

generatormatrix algebracommutators

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Algebraic systems of matrices (15A30)

Related Items

Spaces of generators for matrix algebras with involution ⋮ Linear spanning sets for matrix spaces ⋮ Burnside graphs, algebras generated by sets of matrices, and the Kippenhahn conjecture

Cites Work

• Common eigenvectors of two matrices
• The theory of matrix polynomials and its application to the mechanics of isotropic continua
• Further results in the theory of matrix polynomials
• Irredundant generating sets for matrix algebras
• Simultaneous reduction of sets of matrices under similarity
• An upper bound for the length of a finite-dimensional algebra
• An application of the Cayley-Hamilton theorem to matrix polynomials in several variables