Generic unipotent standard modules
classification
🧮 math.RT
keywords
casegenericreducibilitystandardaffinealgebraclassificationcondition
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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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