Generic unipotent standard modules

Dan Barbasch; Dan Ciubotaru

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arXiv · 0909.5243

Generic unipotent standard modules

Dan Barbasch·Dan Ciubotaru

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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.

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Dan Barbasch, Dan Ciubotaru. 2012-04-19. Generic unipotent standard modules. https://arxiv.org/abs/0909.5243

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