Explicit ring-theoretic presentation of Iwasawa algebras

Jishnu Ray

doi:10.1016/j.crma.2018.09.002

Number theory/Group theory

Explicit ring-theoretic presentation of Iwasawa algebras

Presented by: Jean-Loup Waldspurger

Jishnu Ray ¹

¹ Département de mathématiques d'Orsay, Université Paris-Sud (Paris-11), 91405 Orsay, France

Comptes Rendus. Mathématique, Volume 356 (2018) no. 11-12, pp. 1075-1080.

Abstract
Résumé

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.

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.

Received: 2018-06-29
Accepted: 2018-09-11
Published online: 2018-10-30

DOI: 10.1016/j.crma.2018.09.002

Author's affiliations:

Jishnu Ray ¹

¹ Département de mathématiques d'Orsay, Université Paris-Sud (Paris-11), 91405 Orsay, France

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     title = {Explicit ring-theoretic presentation of {Iwasawa} algebras},
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Jishnu Ray. Explicit ring-theoretic presentation of Iwasawa algebras. Comptes Rendus. Mathématique, Volume 356 (2018) no. 11-12, pp. 1075-1080. doi : 10.1016/j.crma.2018.09.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.09.002/

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