Mathematics – Representation Theory
Scientific paper
2009-09-29
Mathematics
Representation Theory
9 pages
Scientific paper
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.
Barbasch Dan
Ciubotaru Dan
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