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Weil representation and \(\beta\)-extensions - MaRDI portal

Weil representation and \(\beta\)-extensions (Q715147)

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Weil representation and \(\beta\)-extensions
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    Weil representation and \(\beta\)-extensions (English)
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    2 November 2012
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    The author studies \(\beta \)-extensions in a \(p\)-adic classical group and produces a relation between some \(\beta \)-extensions by means of a Weil representation. This is applied to the study of reducibility points of some parabolically induced representations.
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    local non-Archimedean field
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    classical group
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    Weil representation
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    beta-extension
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    semi-simple type
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    semi-simple character
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    cover
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    Hecke algebra
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    reducibility points
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