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arXiv · 2202.08170

Faithfulness of generalised Verma modules for Iwasawa algebras

Stephen Mann
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Abstract

We prove faithfulness of infinite-dimensional generalised Verma modules for Iwasawa algebras corresponding to split simple Lie algebras with a Chevalley basis. We use this to prove faithfulness of all infinite-dimensional highest-weight modules in the case of type $A_{2}$. In this case we also show that all prime ideals of the corresponding Iwasawa algebras are annihilators of finite-dimensional simple modules.

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Stephen Mann. 2022-02-16. Faithfulness of generalised Verma modules for Iwasawa algebras. https://arxiv.org/abs/2202.08170

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