pith. sign in

arxiv: 0909.5243 · v2 · pith:2T7FWPCMnew · submitted 2009-09-29 · 🧮 math.RT

Generic unipotent standard modules

classification 🧮 math.RT
keywords casegenericreducibilitystandardaffinealgebraclassificationcondition
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.