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- W2023268733 abstract "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 which it is not the case." @default.
- W2023268733 created "2016-06-24" @default.
- W2023268733 creator A5027666103 @default.
- W2023268733 date "2009-01-01" @default.
- W2023268733 modified "2023-10-06" @default.
- W2023268733 title "Le foncteur des invariants sous l'action du pro-p-Iwahori de GL2(F)" @default.
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- W2023268733 doi "https://doi.org/10.1515/crelle.2009.078" @default.
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