论文标题
关于有限符号/正交双对的Theta和ETA对应
On Theta and Eta Correspondences for Finite Symplectic/Orthogonal Dual Pairs
论文作者
论文摘要
在本文中，我们提出了两个最大的一对一子关系$ \usewinechinlineθ，\edellineθ$，用于由有限还原双对组成的有限还原双对，由符号组和正交组组成。此外，我们表明，两个对应关系$ \usewinlineθ$和$ \overlineθ$都超出了Gurevich-Howe定义的$η$ correspess的稳定范围。
In this paper, we propose two maximal one-to-one sub-relations $\underlineθ, \overlineθ$ of the Howe correspondence $Θ$ for a finite reductive dual pair consisting of a symplectic group and an orthogonal group. Moreover, we show that both the correspondences $\underlineθ$ and $\overlineθ$ are extensions beyond the stable range of the $η$-correspondence defined by Gurevich-Howe.
