论文标题
关于有限统一双对的Theta和ETA对应
On Theta and Eta Correspondences for Finite Unitary Dual Pairs
论文作者
论文摘要
众所周知，有限还原双对的$θ$ - 相对应是一般不是一对一的。在本文中，我们提出了两个最大一对一的子关系$ \usewineθ，\ +overlineθ$的$θ$ - corresporce of $θ$ - corresporce of两个单一组有限双对。这两个对应关系是Gurevich-Howe提出的$η$ corroge的类似物的扩展。
It is known that the $Θ$-correspondence for a finite reductive dual pair is not one-to-one in general. In this paper, we propose two maximal one-to-one sub-relations $\underlineθ,\overlineθ$ of the $Θ$-correspondences for a finite dual pair of two unitary groups. These two correspondences are extensions of the analogue of the $η$-correspondence proposed by Gurevich-Howe.
