Geodesic
Reducibility of Generic Unipotent Standard Modules
Journal of Lie theory, Tome 21 (2011) no. 4, pp. 837-846 Cet article a éte moissonné depuis la source Heldermann Verlag

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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 and Shahidi for representations of split p-adic groups with Iwahori-spherical Whittaker vectors. We also give a necessary (but insufficient) condition for reducibility in the non-generic case.
Classification : 22E50
Mots-clés : Whittaker models, unipotent representations, graded affine Hecke algebra 
@article{JLT_2011_21_4_JLT_2011_21_4_a4,
     author = {D. Barbasch and D. Ciubotaru },
     title = {Reducibility of {Generic} {Unipotent} {Standard} {Modules}},
     journal = {Journal of Lie theory},
     pages = {837--846},
     year = {2011},
     volume = {21},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JLT_2011_21_4_JLT_2011_21_4_a4/}
}
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D. Barbasch; D. Ciubotaru . Reducibility of Generic Unipotent Standard Modules. Journal of Lie theory, Tome 21 (2011) no. 4, pp. 837-846. http://geodesic.mathdoc.fr/item/JLT_2011_21_4_JLT_2011_21_4_a4/