Publications [#374140] of Jessica Fintzen

Papers Published

1. Fintzen, J; Romano, B, Stable vectors in Moy-Prasad filtrations, Compositio Mathematica, vol. 153 no. 2 (February, 2017), pp. 358-372 [doi]
   (last updated on 2024/07/10)

   Abstract:
   Let be a finite extension of , let be an absolutely simple split reductive group over, and let be a maximal unramified extension of . To each point in the Bruhat-Tits building of , Moy and Prasad have attached a filtration of by bounded subgroups. In this paper we give necessary and sufficient conditions for the dual of the first Moy-Prasad filtration quotient to contain stable vectors for the action of the reductive quotient. Our work extends earlier results by Reeder and Yu, who gave a classification in the case when is sufficiently large. By passing to a finite unramified extension of if necessary, we obtain new supercuspidal representations of .