Jacquet modules of strongly positive representations of the metaplectic group \(\widetilde{\mathrm{Sp}(n)}\) (Q2838081)
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scientific article; zbMATH DE number 6185164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Jacquet modules of strongly positive representations of the metaplectic group \(\widetilde{\mathrm{Sp}(n)}\) |
scientific article; zbMATH DE number 6185164 |
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8 July 2013
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strongly positive discrete series
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classical \(p\)-adic groups
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metaplectic groups
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Jacquet modules
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Jacquet modules of strongly positive representations of the metaplectic group \(\widetilde{\mathrm{Sp}(n)}\) (English)
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Strongly positive discrete series are generalizations of Steinberg representation. They are important building blocks in the construction of discrete series obtained after the fundamental work of Arthur by \textit{C. Mœglin} [J. Eur. Math. Soc. (JEMS) 4, No. 2, 143--200 (2002; Zbl 1002.22009)] and \textit{C. Mœglin} and \textit{M. Tadić} [J. Am. Math. Soc. 15, No. 3, 715--786 (2002; Zbl 0992.22015)]. The author has classified the strongly positive discrete series in terms of supercuspidal representations in the case of metaplectic groups in his earlier paper [J. Algebra 334, No. 1, 255--274 (2011; Zbl 1254.22010)]. In the present paper, he computes Jacquet modules of strongly positive discrete series.
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