Presentation of an Iwasawa algebra:The pro-$p$-Iwahori of reductive groups

Abstract

In this article we generalize results of Clozel and Ray (for $S{L}_2$ and $S{L}_n$ respectively) to give explicit ring-theoretic presentation in terms of a complete set of generators and relations of the Iwasawa algebra of the pro-$p$ Iwahori subgroup of a connected, split, reductive group $\mathbb{G}$ over ${\mathbb{Q}}_p$.

19 pgs