Discrete Series Representations of Unipotent p-adic Groups

Key Points

• To explore the classification of irreducible smooth discrete series representations of certain locally profinite groups.
• Analyzed irreducible smooth discrete series representations
• Investigated induction from linear characters
• Focused on groups of F-points of unipotent algebraic groups defined over non-Archimedean local fields.
• All irreducible smooth discrete series representations are shown to be supercuspidal
• Demonstrated that these representations arise from induction from suitable open and compact subgroups
• Results provide a recovery of earlier findings by van Dijk and Corwin.