论文标题
8维自旋组的2参数绿色功能
The 2-parameter Green functions for 8-dimensional spin groups
论文作者
论文摘要
2参数绿色功能是有限还原组中卢斯蒂格诱导的特征公式中的关键成分。尽管如此，对于这些功能，尤其是在具有断开中心的代数组的组中，尤其是对这些功能的了解很少。我们收集一些基本属性，然后将它们与一些明确的计算一起应用，以确定奇数特征中8维自旋组的所有2-参数绿色函数，其中心与订单〜4断开。
The 2-parameter Green functions occur as a crucial ingredient in the character formula for Lusztig induction in finite reductive groups. Still, very little is known about these functions, in particular in the case of groups arsing from algebraic groups with disconnected centre. We collect some basic properties and then apply these, together with some explicit computations, to determine all 2-parameter Green functions for 8-dimensional spin groups in odd characteristic, whose centre is disconnected of order~4.
