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arXiv · 2410.20246

Faithfulness of highest-weight modules for Iwasawa algebras in type D

Stephen Mann
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Abstract

We prove that infinite-dimensional highest-weight modules are faithful for Iwasawa algebras corresponding to a simple Lie algebra of type D. We use this to prove that all non-zero two-sided ideals of the Iwasawa algebra have finite codimension in this case.

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Stephen Mann. 2024-10-26. Faithfulness of highest-weight modules for Iwasawa algebras in type D. https://arxiv.org/abs/2410.20246

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