Publications [#374137] of Jessica Fintzen

Papers Published

1. Fintzen, J, On the Moy-Prasad filtration, Journal of the European Mathematical Society, vol. 23 no. 12 (January, 2021), pp. 4009-4063 [doi]
   (last updated on 2024/07/10)

   Abstract:
   Let K be a maximal unramified extension of a non-archimedean local field with arbitrary residual characteristic p. Let G be a reductive group over K which splits over a tamely ramified extension of K. We show that the associated Moy-Prasad filtration representations are in a certain sense independent of p. We also establish descriptions of these representations in terms of explicit Weyl modules and as representations occurring in a generalized Vinberg-Levy theory. As an application, we provide necessary and sufficient conditions for the existence of stable vectors in Moy-Prasad filtration representations, which extend earlier results by Reeder and Yu (which required p to be large) and by Romano and the present author (which required G to be absolutely simple and split). This yields new supercuspidal representations. We also treat reductive groups G that are not necessarily split over a tamely ramified field extension.