On semigroups of matrices with traces in a subfield (Q1336422)
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scientific article; zbMATH DE number 665799
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On semigroups of matrices with traces in a subfield |
scientific article; zbMATH DE number 665799 |
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On semigroups of matrices with traces in a subfield (English)
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24 October 1994
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It is shown that an irreducible semigroup of \(n \times n\) complex matrices with real spectra is conjugate to a semigroup of real matrices. A weaker result is obtained for a semigroup of matrices over an arbitrary field with traces in a subfield. Reviewer's note: Lemma 1c) is valid only under the additional assumption that the \(K\)-algebra \(\text{Alg}_ K({\mathcal S})\) is finite dimensional. This does not affect the validity of the main results.
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irreducible semigroup of complex matrices with real spectra
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semigroup of real matrices
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