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

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

2008-12-19

arxiv.org/abs/0812.3870v1

Mathematics

Representation Theory

12 pages

Scientific paper

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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