l-ADIC REPRESENTATIONS OF p-ADIC GROUPS by Marie-France Vigneras

@inproceedings{Vigneras2009lADICRO,
  title={l-ADIC REPRESENTATIONS OF p-ADIC GROUPS by Marie-France Vigneras},
  author={Marie-France Vigneras},
  year={2009}
}
  • Marie-France Vigneras
  • Published 2009
— Let p/ =l be two distinct prime numbers, let F be a p-adic field and let E be an l-adic field. We prove that the smooth part and the completion are inverse equivalences of categories between the category of admissible Banach unitary Erepresentations of GL(n, F ) and the category of admissible smooth E-representations of GL(n, F ) equipped with a… CONTINUE READING