Annilhilators of highest weight modules for Iwasawa algebras

在他们的论文“Verma模块岩泽代数是忠实的”Ardakov和Wadsley提出了两个问题，旨在证明有没有非平凡理想岩泽代数与合理的系数与简单的代数群。在这个项目中，目标将是回答这些问题中的第二个。第一步是扩展Giles，Janzer和Wadsley关于A型中某些广义Verma模的未发表的工作。

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 The first step will be to extend as yet unpublished work of Giles, Janzer and Wadsley dealingwith certain generalised Verma modules in type A.