Verma modules for Iwasawa algebras are faithful

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.

19 pages

References in corpus (1)

• Localization of modules for a semisimple Lie algebra in prime characteristic

Cited by in corpus (2)

• Towards affinoid Duflo Theorem I: Twisted differential operators
• A canonical dimension estimate for non-split semisimple p-adic Lie groups