Geodesic
Discrete Series Representations of Unipotent p-adic Groups
Journal of Lie theory, Tome 15 (2005) no. 1, pp. 261-267
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For a certain class of locally profinite groups, we show that an irreducible smooth discrete series representation is necessarily supercuspidal and, more strongly, can be obtained by induction from a linear character of a suitable open and compact modulo center subgroup. If F is a non-Archimedean local field, then our class of groups includes the groups of F-points of unipotent algebraic groups defined over F. We therefore recover earlier results of van Dijk and Corwin.
Classification : 22E50, 20G05, 22E27
Mots-clés : p-adic group, locally profinite group, nilpotent group, discrete series, supercuspidal representation 
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     author = {J. D. Adler and A. Roche},
     title = {Discrete {Series} {Representations} of {Unipotent} p-adic {Groups}},
     journal = {Journal of Lie theory},
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     year = {2005},
     volume = {15},
     number = {1},
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J. D. Adler; A. Roche. Discrete Series Representations of Unipotent p-adic Groups. Journal of Lie theory, Tome 15 (2005) no. 1, pp. 261-267. http://geodesic.mathdoc.fr/item/JLT_2005_15_1_JLT_2005_15_1_a17/