A note on isometries over local or finite fields (Q984625)
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scientific article; zbMATH DE number 5757836
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on isometries over local or finite fields |
scientific article; zbMATH DE number 5757836 |
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A note on isometries over local or finite fields (English)
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20 July 2010
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Let \(K\) be a finite or a local field of characteristic \(\neq 2\). The author gives an elementary proof for an extension of a result of \textit{J. W. Milnor} [Invent. Math. 8, 83--97 (1969; Zbl 0177.05204]): if two unitary operators of a quadratic space over \(K\) have the same irreducible minimal polynomial, then they are conjugate via a unitary operator.
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quadratic space
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unitary operator
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