The Schur lemma for orthogonal representations (Q699010)
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scientific article; zbMATH DE number 1810510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Schur lemma for orthogonal representations |
scientific article; zbMATH DE number 1810510 |
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The Schur lemma for orthogonal representations (English)
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30 March 2003
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Let \(\sigma\) be an orthogonal representation of a group \(G\) on a real Hilbert space. It is shown that \(\sigma\) is irreducible if and only if its commutant is isomorphic to \(\mathbb{R}\), \(\mathbb{C}\), or \(\mathbb{H}\). The result was known in the finite-dimensional case.
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orthogonal representations
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0.9000446
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0.8996813
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0.8985087
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0.89251363
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0.88532096
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