Discrete Series Representations of Unipotent p-adic Groups

نویسندگان

  • Jeffrey D. Adler
  • Alan Roche
چکیده

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. Mathematics Subject Classification: 22E50, 20G05, 22E27.

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تاریخ انتشار 2004