A remark on Burnside's theorem on matrix algebras
Let L(V) be the algebra of linear operators on the finite dimensional vector space V over an algebraically closed field. Burnside's Theorem: If \({\mathcal A}\) is a transitive subalgebra of L(V) then \({\mathcal A}=L(V)\). A self-contained elementary proof is given. Although it is not explicitly stated, subalgebras are always assumed to contain the identity operator in this paper.
scientific article; zbMATH DE number 3882585