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On Jacquet Modules of Discrete Series: the First Inductive Step
Journal of Lie theory, Tome 26 (2016) no. 1, pp. 135-168
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The purpose of this paper is to determine Jacquet modules of discrete series which are obtained by adding a pair of consecutive elements to the Jordan block of an irreducible strongly positive representation such that the ε-function attains the same value on both elements. Such representations present the first inductive step in the realization of discrete series starting from the strongly positive ones. We are interested in determining Jacquet modules with respect to the maximal standard parabolic subgroups, with an irreducible essentially square-integrable representation on the general linear part.
Classification : 22E35, 22E50
Mots-clés : Discrete series, classical p-adic groups, Jacquet modules 
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     author = {I. Matic},
     title = {On {Jacquet} {Modules} of {Discrete} {Series:} the {First} {Inductive} {Step}},
     journal = {Journal of Lie theory},
     pages = {135--168},
     year = {2016},
     volume = {26},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2016_26_1_JLT_2016_26_1_a6/}
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I. Matic. On Jacquet Modules of Discrete Series: the First Inductive Step. Journal of Lie theory, Tome 26 (2016) no. 1, pp. 135-168. http://geodesic.mathdoc.fr/item/JLT_2016_26_1_JLT_2016_26_1_a6/