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. In the case n>0, we characterise all the primitive ideals in the affinoid algebra widehat{U(mathfrak {{g}})_{n,K}}.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.