Pré-Publication, Document De Travail Année : 2016

Globally analytic representations of the pro-p-Iwahori subgroup of GL(2) and base change, I : Iwasawa algebras and a base change map.

Résumé

This is the first part of a study of base change for globally analytic representations of the pro-p Iwahori subgroup of GL(2) over an unramified extension of Q_p. This paper contains an extension to such fields, and to the pro-p Iwahori, of the presentation given in [5] of the Iwasawa algebra. We are led naturally (§3.3) to a base change map; however, this map makes sense only for the algebras of global distributions on the rigid-analytic spaces. The second part of the paper will apply this to representation theory.

Fichier principal
Vignette du fichier
globally_analytic3.pdf (200.53 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...

Dates et versions

hal-01312419 , version 1 (06-05-2016)

Licence

Identifiants

  • HAL Id : hal-01312419 , version 1

Citer

Laurent Clozel. Globally analytic representations of the pro-p-Iwahori subgroup of GL(2) and base change, I : Iwasawa algebras and a base change map.. 2016. ⟨hal-01312419⟩
105 Consultations
537 Téléchargements

Partager

  • More