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Jacquet modules of strongly positive discrete series of the metaplectic group $\widetilde{; ; ; ; ; ; Sp(n)}; ; ; ; ; ; $ (CROSBI ID 174923)

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Matić, Ivan Jacquet modules of strongly positive discrete series of the metaplectic group $\widetilde{; ; ; ; ; ; Sp(n)}; ; ; ; ; ; $ // Transactions of the American mathematical society, 365 (2013), 2755-2778. doi: 10.1090/S0002-9947-2012-05725-4

Podaci o odgovornosti

Matić, Ivan

engleski

Jacquet modules of strongly positive discrete series of the metaplectic group $\widetilde{; ; ; ; ; ; Sp(n)}; ; ; ; ; ; $

Strongly positive discrete series represent a particularly important class of irreducible square-integrable representations of p-adic groups. Indeed, these representations are used as basic building blocks in known constructions of general discrete series. In this paper, we explicitly describe Jacquet modules of strongly positive discrete series. The obtained description of Jacquet modules, which relies on our recent classi cation of strongly positive discrete series, is valid in both classical and metaplectic case. We expect that our results, besides being interesting by themselves, should be relevant to some potential applications in the theory of automorphic forms, where both representations of metaplectic groups and structure of Jacquet modules play an important part.

strongly positive discrete series; classical p-adic groups; metaplectic groups; Jacquet modules

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Podaci o izdanju

365

2013.

2755-2778

objavljeno

0002-9947

10.1090/S0002-9947-2012-05725-4

Povezanost rada

Matematika

Poveznice
Indeksiranost