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.
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