论文标题
完善小组计划
Perfecting group schemes
论文作者
论文摘要
我们对有限类型的仿射组方案的完美进行系统研究，这是在积极特征的领域上的完美研究。主要的结果本质上表征和分类还原群的完美，并获得了一组与紧凑型连接的谎言基团的分类空间拓扑定位的分类空间。我们还研究了完全还原群体的表示。我们建立了简单模块的最高权重分类，分解为块，并将扩展组与基础抽象组的分类相关联。
We initiate a systematic study of the perfection of affine group schemes of finite type over fields of positive characteristic. The main result intrinsically characterises and classifies the perfections of reductive groups, and obtains a bijection with the set of classifying spaces of compact connected Lie groups topologically localised away from the characteristic. We also study the representations of perfectly reductive groups. We establish a highest weight classification of simple modules, the decomposition into blocks, and relate extension groups to those of the underlying abstract group.
