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Presentation of an Iwasawa algebra:The pro-$p$-Iwahori of reductive groups (2301.00458v1)

Published 1 Jan 2023 in math.RT

Abstract: In this article we generalize results of Clozel and Ray (for $SL_2$ and $SL_n$ 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 $\mathbb{Q}_p$.

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