Resumen de Primitive ideals in affinoid enveloping algebras of semisimple Lie algebras

Ioan Stanciu

• 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 .