Depth-Zero Representations of Nonlinear Covers of p-Adic Groups

Abstract

We 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.

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