English

Verma modules for Iwasawa algebras are faithful

Rings and Algebras 2013-08-26 v1 Number Theory Representation Theory

Abstract

We establish the faithfulness of Verma modules for rational Iwasawa algebras of split semisimple compact LL-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 pp-adic Lie algebras.

Keywords

Cite

@article{arxiv.1308.5104,
  title  = {Verma modules for Iwasawa algebras are faithful},
  author = {Konstantin Ardakov and Simon Wadsley},
  journal= {arXiv preprint arXiv:1308.5104},
  year   = {2013}
}

Comments

19 pages