Journal of Lie Theory

no. 1
Discrete Series Representations of Unipotent p-adic Groups
Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 261-267
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.
DOI: 10.5802/jolt.373
Classification: 22E50, 20G05, 22E27
Keywords: p-adic group, locally profinite group, nilpotent group, discrete series, supercuspidal representation 
@article{JOLT_2005_15_1_a17,
     author = {J. D. Adler and A. Roche},
     title = {Discrete {Series} {Representations} of {Unipotent} p-adic {Groups}},
     journal = {Journal of Lie Theory},
     pages = {261--267},
     year = {2005},
     volume = {15},
     number = {1},
     doi = {10.5802/jolt.373},
     zbl = {1066.22017},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.373/}
}
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J. D. Adler; A. Roche. Discrete Series Representations of Unipotent p-adic Groups. Journal of Lie Theory, Volume 15 (2005) no. 1, pp. 261-267. doi: 10.5802/jolt.373

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