Nonstandard representations of locally compact groups (Q942054)
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scientific article; zbMATH DE number 5319844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonstandard representations of locally compact groups |
scientific article; zbMATH DE number 5319844 |
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Nonstandard representations of locally compact groups (English)
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3 September 2008
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The paper deals with the imaging of groups. In particular it is shown that any infinite-dimensional unitary representation \(T\) of a direct product of groups \(G=K\times N\), where \(K\) is a compact group and \(N\) is a locally compact Abelian group, is imaged by a representation of the nonstandard analog of the group \(G\) in the group of nonstandard matrices of a fixed nonstandard size.
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unitary representation
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nonstandard matrix
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imaging of groups
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Boolean algebra
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Stone space
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Casimir operator
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