论文标题
关于有限古典群体的gan-gross-prosad问题
On the Gan-Gross-Prasad problem for finite classical groups
论文作者
论文摘要
在本文中，我们研究有限古典群体的Gan-Gross-Prosad问题。我们的结果为单位表示提供了完整的答案，并为这些表示形式获得了明确的分支定律。此外，对于任意表示形式，我们给出了一个公式，将Gan-Gross-Prosad问题减少到Deligne-Lusztig字符的限制问题。
In this paper we study the Gan-Gross-Prasad problem for finite classical groups. Our results provide complete answers for unipotent representations, and we obtain the explicit branching laws for these representations. Moreover, for arbitrary representations, we give a formula to reduce the Gan-Gross-Prasad problem to the restriction problem of Deligne-Lusztig characters.
