Annilhilators of highest weight modules for Iwasawa algebras

在他们的论文“Iwasawa代数的Verma模是忠实的”中，Ardakov和Wadsley提出了两个问题，旨在证明在与简单代数群相关的Iwasawa代数中不存在具有有理系数的非平凡理想。在这个项目中，我们的目标是回答第二个问题。第一步将是扩展Giles， Janzer和Wadsley尚未发表的关于A型中某些广义Verma模块的工作。

In their paper `Verma modules for Iwasawa algebras are faithful' Ardakov and Wadsley raised two questions aimed at proving that there are no non-trivial ideals in Iwasawa algebras with rational coefficients associated to simple algebraic groups. In this project the goal will be to answer the second of these questions. The first step will be to extend as yet unpublished work of Giles, Janzer and Wadsley dealingwith certain generalised Verma modules in type A.