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

Howard, Tatiana K.; Weissman, Martin H.

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

Authors

Description

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.
12 pages