Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Primitive ideals in rational, nilpotent Iwasawa algebras   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.

3
The categories of this paper are: physics
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph