Presentation of an Iwasawa algebra: The pro-<i>p</i> Iwahori of simple, simply connected, split groups

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 simple, simply connected, split group $\mathbf {G}$ over ${{\mathbb Q}_p}$ .

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Publication Details

Journal
Canadian Mathematical Bulletin
Published
2025-01-09
DOI
https://doi.org/10.4153/s000843952400078x
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00
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article

Presentation of an Iwasawa algebra: The pro-p Iwahori of simple, simply connected, split groups

Aranya Lahiri, Jishnu Ray
Canadian Mathematical Bulletin
Algebraic structures and combinatorial models
article

Presentation of an Iwasawa algebra: The pro-p Iwahori of simple, simply connected, split groups

Aranya Lahiri, Jishnu Ray
article en

Abstract

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 simple, simply connected, split group $\mathbf {G}$ over ${{\mathbb Q}_p}$ .

Canadian Mathematical BulletinVol. 68(2)
Homi Bhabha National Institute (IN), Harish-Chandra Research Institute (IN), University of California San Diego (US), Indiana University Bloomington (US)
Openalex Percentile: Top 98%
Algebraic structures and combinatorial models
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