[Présentation explicite des algèbres d'Iwasawa en théorie des anneaux]
Les algèbres d'Iwasawa sont des algèbres de groupes complétées des groupes de Lie p-adiques compacts. Ardakov et Venjakob ont étudié la structure et les propriétés d'anneaux de telles algèbres. Cette note donne une présentation explicite par générateurs et relations des algèbres d'Iwasawa des pro-p-groupes uniformes, c'est-à-dire des pro-p-groupes qui admettent une structure de variété analytique p-adique.
Iwasawa algebras are completed group algebras of compact p-adic Lie groups. Ardakov and Venjakob have studied the structure theory and the ring-theoretic properties of such algebras. This article gives an explicit presentation by generators and relations of the Iwasawa algebras of uniform pro-p groups, i.e. the pro-p groups that admit a p-adic analytic manifold structure.
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@article{CRMATH_2018__356_11-12_1075_0,
author = {Ray, Jishnu},
title = {Explicit ring-theoretic presentation of {Iwasawa} algebras},
journal = {Comptes Rendus. Math\'ematique},
pages = {1075--1080},
publisher = {Elsevier},
volume = {356},
number = {11-12},
year = {2018},
doi = {10.1016/j.crma.2018.09.002},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2018.09.002/}
}
TY - JOUR AU - Ray, Jishnu TI - Explicit ring-theoretic presentation of Iwasawa algebras JO - Comptes Rendus. Mathématique PY - 2018 SP - 1075 EP - 1080 VL - 356 IS - 11-12 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2018.09.002/ DO - 10.1016/j.crma.2018.09.002 LA - en ID - CRMATH_2018__356_11-12_1075_0 ER -
%0 Journal Article %A Ray, Jishnu %T Explicit ring-theoretic presentation of Iwasawa algebras %J Comptes Rendus. Mathématique %D 2018 %P 1075-1080 %V 356 %N 11-12 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2018.09.002/ %R 10.1016/j.crma.2018.09.002 %G en %F CRMATH_2018__356_11-12_1075_0
Ray, Jishnu. Explicit ring-theoretic presentation of Iwasawa algebras. Comptes Rendus. Mathématique, Tome 356 (2018) no. 11-12, pp. 1075-1080. doi : 10.1016/j.crma.2018.09.002. http://www.numdam.org/articles/10.1016/j.crma.2018.09.002/
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