论文标题
伊瓦川代数的广义维尔玛模块的忠诚
Faithfulness of generalised Verma modules for Iwasawa algebras
论文作者
论文摘要
我们证明了无限尺寸的广义Verma模块的忠诚度，用于与雪佛兰相对应的简单谎言代数对应的iwasawa代数。在类型$ a_ {2} $的情况下，我们用它来证明所有无限维度最高权重模块的忠诚。在这种情况下，我们还表明，相应的硫泽代数的所有主要理想都是有限维简单模块的歼灭者。
We prove faithfulness of infinite-dimensional generalised Verma modules for Iwasawa algebras corresponding to split simple Lie algebras with a Chevalley basis. We use this to prove faithfulness of all infinite-dimensional highest-weight modules in the case of type $A_{2}$. In this case we also show that all prime ideals of the corresponding Iwasawa algebras are annihilators of finite-dimensional simple modules.
