English

Reducibility for $SU_n$ and generic elliptic representations

Representation Theory 2007-05-23 v1

Abstract

We examine the reducibility of induced from discrete series representations of SUnSU_n over a pp--adic field of characteristic zero. Some results are given for groups sharing derived group. We give a relationship between the RR-groups for U)nU)n and SUn.SU_n. Nonabelian RR-groups are discussed. Elliptic representations are examined and in the generic case we give an explicit description f those LL--packets containing non-discrete elliptic tempered representations. We exhibit LL--packets containing both elliptic and non-elliptic components.

Keywords

Cite

@article{arxiv.math/0401287,
  title  = {Reducibility for $SU_n$ and generic elliptic representations},
  author = {David Goldberg},
  journal= {arXiv preprint arXiv:math/0401287},
  year   = {2007}
}