arXiv Open Access 2022

Faithfulness of generalised Verma modules for Iwasawa algebras

Stephen Mann

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Abstrak

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.

Topik & Kata Kunci

math.RT math.NT math.RA

Penulis (1)

Stephen Mann

Format Sitasi

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Mann, S. (2022). Faithfulness of generalised Verma modules for Iwasawa algebras. https://arxiv.org/abs/2202.08170

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓