Depth Zero Representations of Nonlinear Covers of $p$-adic Groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213210We generalize the methods of Moy-Prasad, in order to define and study the genuine depth zero representations of some nonlinear covers of reductive groups over $p$-adic local fields. In particular, we construct all depth zero supercuspidal representations of the metaplectic group $Mp_{2n}$ over a $p$-adic field of odd residue characteristic.12 pagesRepresentation TheoryNumber Theory11F70, 22E50Depth Zero Representations of Nonlinear Covers of $p$-adic Groupstext