Presentation of an Iwasawa algebra: The pro-p Iwahori of simple, simply connected, split groups
Canadian mathematical bulletin, Tome 68 (2025) no. 2, pp. 377-394
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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 ${{\mathbb Q}_p}$.
Lahiri, Aranya; Ray, Jishnu. Presentation of an Iwasawa algebra: The pro-p Iwahori of simple, simply connected, split groups. Canadian mathematical bulletin, Tome 68 (2025) no. 2, pp. 377-394. doi: 10.4153/S000843952400078X
@article{10_4153_S000843952400078X,
author = {Lahiri, Aranya and Ray, Jishnu},
title = {Presentation of an {Iwasawa} algebra: {The} pro-p {Iwahori} of simple, simply connected, split groups},
journal = {Canadian mathematical bulletin},
pages = {377--394},
year = {2025},
volume = {68},
number = {2},
doi = {10.4153/S000843952400078X},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S000843952400078X/}
}
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%0 Journal Article %A Lahiri, Aranya %A Ray, Jishnu %T Presentation of an Iwasawa algebra: The pro-p Iwahori of simple, simply connected, split groups %J Canadian mathematical bulletin %D 2025 %P 377-394 %V 68 %N 2 %U http://geodesic.mathdoc.fr/articles/10.4153/S000843952400078X/ %R 10.4153/S000843952400078X %F 10_4153_S000843952400078X
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