Primitive ideals in affinoid enveloping algebras of semisimple Lie algebras

• Ioan Stanciu ^[1]
  1. [1] University of Oxford

     University of Oxford

     Oxford District, Reino Unido

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 28, Nº. 4, 2022
• Idioma: inglés
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• Resumen

  • 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, U(g)K , is the annihilator of an affinoid highest weight module. In the case n > 0, we characterise all the primitive ideals in the affinoid algebra U(g)n,K .