On Cuspidal Representations of General Linear Groups over Dicrete Valuation Rings

@inproceedings{Aubert2007OnCR,
  title={On Cuspidal Representations of General Linear Groups over Dicrete Valuation Rings},
  author={A. Aubert and Amritanshu Prasad},
  year={2007}
}
We define a new notion of cuspidality for representations of GLn over a finite quotient ok of the ring of integers o of a non-Archimedean local field F using geometric and infinitesimal induction functors, which involve automorphism groups Gλ of torsion o-modules. When n is a prime, we show that this notion of cuspidality is equivalent to strong cuspidality… CONTINUE READING