北京雁栖湖应用数学研究院

Representations of finite groups have applications in numerous fields. One scenario involves selecting the base field k according to different conditions, thereby reducing some problems to the required kG-representation. Hence, we try to understand how the base field affect kG-representation. To this end, our focus is mainly on group character theory and indecomposable modules. Specifically, it primarily covers Brauer characters、Theorems of Mackey and Clifford、Projective modules.