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.
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