Adam Jones

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20182026

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math.RT2026

New directions in the study of prime ideals in rational, nilpotent Iwasawa algebras

Adam Jones, William Woods

Let G be a nilpotent p-valuable (compact p-adic Lie) group. There is an ongoing investigation into the prime ideals of its completed group algebra (Iwasawa algebra), and there rema…

math.RT2021

Primitive ideals in rational, nilpotent Iwasawa algebras

Adam Jones

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 $K G$ are maximal, and can be reduced to…

math.RT2021

Affinoid Dixmier modules and the deformed Dixmier-Moeglin equivalence

Adam Jones

The affinoid envelope, $U (L)$ of a free, finitely generated $Z_{p}$ -Lie algebra $L$ has proven to be useful within the representation theory of…

math.RT2018

Completed Group Algebras of Abelian-by-procyclic Groups

Adam Jones

Let p be a prime, let G be a p-valuable, abelian-by-procyclic group, and let k be a field of characteristic p. We will prove that all faithful prime ideals of the completed group a…