Some aspects in the theory of representations of discrete groups. I (Q1178753)
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scientific article; zbMATH DE number 22331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some aspects in the theory of representations of discrete groups. I |
scientific article; zbMATH DE number 22331 |
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Some aspects in the theory of representations of discrete groups. I (English)
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26 June 1992
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The author presents some new aspects of the theory of representations of infinite discrete groups by giving some general criteria of the irreducibility and mutual equivalence for a family of induced representations. The results are applied to the infinite symmetric group \({\mathcal S}_ \infty\) in order to get a large family of completely new irreducible unitary representations.
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representations of infinite discrete groups
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irreducibility
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equivalence
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induced representations
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infinite symmetric group
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irreducible unitary representations
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