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Primitive ideals in the affinoid enveloping algebras of semisimple Lie algebras

Published 31 Mar 2021 in math.RT and math.RA | (2103.16906v1)

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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Authors (1)

  1. Ioan Stanciu 

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