English

Generic unipotent standard modules

Representation Theory 2012-04-23 v2

Abstract

Using Lusztig's geometric classification, we find the reducibility points of a standard module for the affine Hecke algebra, in the case when the inducing data is generic. This recovers the known result of Muic-Shahidi for representations of split p-adic groups with Iwahori-spherical Whittaker vectors. We also give a necessary (insufficient) condition for reducibility in the non-generic case.

Keywords

Cite

@article{arxiv.0909.5243,
  title  = {Generic unipotent standard modules},
  author = {Dan Barbasch and Dan Ciubotaru},
  journal= {arXiv preprint arXiv:0909.5243},
  year   = {2012}
}

Comments

9 pages

R2 v1 2026-06-21T13:51:44.721Z