# Verma modules for Iwasawa algebras are faithful

Ardakov, K

2014

## Journal:

Münster Journal of Mathematics

## Last Updated:

2020-11-07T23:36:27.257+00:00

1

7

5-26

## abstract:

We establish the faithfulness of Verma modules for rational Iwasawa algebras
of split semisimple compact $L$-analytic groups. We also prove the algebraic
independence of Arens-Michael envelopes over Iwasawa algebras and compute the
centre of affinoid enveloping algebras of semisimple $p$-adic Lie algebras.

420835