A remark on Burnside's theorem on matrix algebras (Q759815)
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scientific article; zbMATH DE number 3882585
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on Burnside's theorem on matrix algebras |
scientific article; zbMATH DE number 3882585 |
Statements
A remark on Burnside's theorem on matrix algebras (English)
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1984
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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.
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Burnside's theorem
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operator algebras
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graph transformations
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transitive subalgebra
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