@article {
author = {Clozel, L.},
title = {Globally analytic $p$-adic representations of the pro--$p$--Iwahori subgroup of $GL(2)$ and base change, I : Iwasawa algebras and a base change map},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {Issue 4 (Special Issue)},
pages = {55-76},
year = {2017},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {This paper extends to the pro-$p$ Iwahori subgroup of $GL(2)$ over an unramified finite extension of $\mathbb{Q}_p$ the presentation of the Iwasawa algebra obtained earlier by the author for the congruence subgroup of level one of $SL(2, \mathbb{Z}_p)$. It then describes a natural base change map between the Iwasawa algebras or more correctly, as it turns out, between the global distribution algebras on the associated rigid-analytic spaces. In a forthcoming paper this will be applied to $p$-adic representation theory.},
keywords = {Iwasawa theory,automorphic representations,rigid analytic geometry},
url = {http://bims.iranjournals.ir/article_1155.html},
eprint = {http://bims.iranjournals.ir/article_1155_3316a1af565979a96e290f976d084d2c.pdf}
}