论文标题
关于班级功能的诱导
On induction of class functions
论文作者
论文摘要
令G为在有限场F_Q上定义的连接还原组，让L为G的LEVI子组（定义在F_Q上定义）G的抛物线子组P。我们定义了从L（f_q）上的类函数到G（f_q）上的类函数的类函数的线性映射。该地图与P的选择无关。我们表明，对于大Q，该地图与已知的共同体诱导（其定义涉及P的选择）一致。
Let G be a connected reductive group defined over a finite field F_q and let L be the Levi subgroup (defined over F_q) of a parabolic subgroup P of G. We define a linear map from class functions on L(F_q) to class functions on G(F_q). This map is independent of the choice of P. We show that for large q this map coincides with the known cohomological induction (whose definition involves a choice of P).
