English

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

Representation Theory 2008-12-22 v1 Number Theory

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 pp-adic local fields. In particular, we construct all depth zero supercuspidal representations of the metaplectic group Mp2nMp_{2n} over a pp-adic field of odd residue characteristic.

Keywords

Cite

@article{arxiv.0812.3870,
  title  = {Depth Zero Representations of Nonlinear Covers of $p$-adic Groups},
  author = {Tatiana K. Howard and Martin H. Weissman},
  journal= {arXiv preprint arXiv:0812.3870},
  year   = {2008}
}

Comments

12 pages

R2 v1 2026-06-21T11:54:16.017Z