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

Autori
Matić, Ivan

Izvornik
Transactions of the American Mathematical Society (0002-9947) 365 (2013); 2755-2778

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA