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Presentation of an Iwasawa algebra: The pro-p Iwahori of simple, simply connected, split groups
Part of:
Algebraic number theory: global fields
Lie groups
Structure and classification of infinite or finite groups
Published online by Cambridge University Press: 09 January 2025
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 
${{\mathbb Q}_p}$.
MSC classification
Primary:
11R23: Iwasawa theory
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- Copyright
- © The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society
Footnotes
The second author is supported by the Inspire Research Grant, Department of Science and Technology, Govt. of India.
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