LE FONCTEUR DES INVARIANTS SOUS L’ACTION DU PRO-p-IWAHORI

@inproceedings{Ollivier2008LEFD,
  title={LE FONCTEUR DES INVARIANTS SOUS L’ACTION DU PRO-p-IWAHORI},
  author={Rachel Ollivier},
  year={2008}
}
— Let F be a p-adic field with uniformizer π. Given a smooth mod p-representation of G = GL2(F )/π, we consider its subspace of invariants under the action of the pro-p-Iwahori subgroup and get this way a functor taking values in the category of right modules over the pro-p-Hecke algebra with characteristic p. We show that if F = Qp, this functor restricted to the representations generated by their pro-p-invariants is an equivalence of categories, and give examples of other p-adic fields for… CONTINUE READING
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