Adam Jones

activity

20182026

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Showing 2021Show all

3 papers · 1 filter

math.AC2021

Skew power series rings over a prime base ring

Adam Jones, William Woods

In this paper, we investigate the structure of skew power series rings of the form $S = R [[x; σ, δ]]$ , where $R$ is a complete filtered ring and $(σ, δ)$ is a skew derivation respecti…

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…