Abstract
AbstractFor 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, $$\widehat{U({\mathfrak {g}})_{K}}$$
U
(
g
)
K
^
, is the annihilator of an affinoid highest weight module. In the case $$n>0$$
n
>
0
, we characterise all the primitive ideals in the affinoid algebra $$\widehat{U(\mathfrak {{g}})_{n,K}}$$
U
(
g
)
n
,
K
^
.
Publisher
Springer Science and Business Media LLC
Subject
General Physics and Astronomy,General Mathematics
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