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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.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Wadsley, S More by this author
Publisher:
Münster Journal of Mathematics Publisher's website
Journal:
Münster Journal of Mathematics Journal website
Publication date:
2014-01-05
EISSN:
1867-5786
ISSN:
1867-5778
URN:
uuid:9c37f6af-a9b8-4c9b-bbeb-04f0ee73ea25
Source identifiers:
420835
Local pid:
pubs:420835

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