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