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arXiv · 2103.16906

Primitive ideals in the affinoid enveloping algebras of semisimple Lie algebras

Ioan Stanciu
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Abstract

For a semisimple Lie algebra defined over a discrete valuation ring with field of fractions $K$, we prove that any primitive ideal with rational central character in the affinoid enveloping algebra, $\widehat{U(\mathfrak{g})_{K}},$ is the annihilator of an affinoid highest weight module.

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BibTeXRIS

Ioan Stanciu. 2021-03-31. Primitive ideals in the affinoid enveloping algebras of semisimple Lie algebras. https://arxiv.org/abs/2103.16906

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