A remark on Burnside's theorem on matrix algebras

DOI10.1016/0024-3795(84)90141-1zbMath0554.15006OpenAlexW2090712452MaRDI QIDQ759815

Erik Rosenthal

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90141-1

zbMATH Keywords

operator algebrasgraph transformationsBurnside's theoremtransitive subalgebra

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Ideals and subalgebras (46H10)

Related Items (6)

On irreducible algebras spanned by triangularizable matrices ⋮ Theorems of Burnside and Wedderburn revisited ⋮ On the codimension of subalgebras of the algebra of matrices over a field ⋮ On irreducible and transitive subalgebras in matrix algebras ⋮ The simplest proof of Burnside's theorem on matrix algebras ⋮ A characterization of matrix groups that act transitively on the cone of positive definite matrices

Cites Work

• Burnside's Theorem on Algebras of Matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A remark on Burnside's theorem on matrix algebras