Journal
LINEAR ALGEBRA AND ITS APPLICATIONS
Volume 383, Issue -, Pages 45-47Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2003.08.012
Keywords
algebras of matrices; invariant subspaces; irreducible; transitive; Burnside's theorem
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A very simple, short and self-contained proof is presented of Burnside's Theorem that every proper algebra of matrices over an algebraically closed held has a non-trivial invariant subspace. (C) 2003 Elsevier Inc. All rights reserved.
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