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The regular representation of local affine motion groups (Q791693)

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scientific article; zbMATH DE number 3851415
Language Label Description Also known as
English
The regular representation of local affine motion groups
scientific article; zbMATH DE number 3851415

    Statements

    title
    The regular representation of local affine motion groups (English)
    0 references
    author
    Bruce Blackadar
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    publication date
    1983
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    review text
    Es wird gezeigt, daß für einen nicht-diskreten lokal-kompakten Körper K die rechts-reguläre Darstellung der Gruppe der affinen Bewegungen von \(K^ n\) ein Vielfaches einer irreduziblen Darstellung auf einem unendlichdimensionalen Hilbertraum ist. Der Induktionsbeweis beruht auf einer expliziten Transformationsformel und einem Makeyschen Theorem.
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    zbMATH Keywords
    regular representation
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    affine motions
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    type \(I_{\infty}\) factor
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    Identifiers

    zbMATH DE Number
    3851415
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    OpenAlex ID
    W2053655970
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