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- W4287330908 abstract "Given a $p$-adic field $K$ and a nilpotent uniform pro-$p$ group $G$, we prove that all primitive ideals in the $K$-rational Iwasawa algebra $KG$ are maximal, and can be reduced to a particular standard form. Setting $mathcal{L}$ as the associated $mathbb{Z}_p$-Lie algebra of $G$, our approach is to study the action of $KG$ on a Dixmier module $widehat{D(lambda)}$ over the affinoid envelope $widehat{U(mathcal{L})}_K$, and to prove that all primitive ideals can be reduced to annihilators of modules of this form." @default.
- W4287330908 created "2022-07-25" @default.
- W4287330908 creator A5033875907 @default.
- W4287330908 date "2021-02-08" @default.
- W4287330908 modified "2023-10-14" @default.
- W4287330908 title "Primitive ideals in rational, nilpotent Iwasawa algebras" @default.
- W4287330908 doi "https://doi.org/10.48550/arxiv.2102.04165" @default.
- W4287330908 hasPublicationYear "2021" @default.
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