论文标题
关于限制亚瑟（Arthur）的猜想的兼容性
On compatibility in restriction of Arthur's conjecture for $R$-groups
论文作者
论文摘要
我们研究了亚瑟（Arthur）对$ r $ - 组的猜想在限制$ p $ adiC组的离散级数表示限制到其具有相同派生群体的封闭子组的兼容性。该兼容性是有条件的，因为它通常是在猜想的兰兰兹信函中。这项工作适用于几种情况，并进一步提出了一种统一的方法来验证Arthur在设置中$ r $ groups的猜想。
We study the compatibility of Arthur's conjecture for $R$-groups in the restriction of discrete series representations from Levi subgroups of a $p$-adic group to those of its closed subgroup having the same derived group. The compatibility is conditional as it holds under the conjectural local Langlands correspondence in general. This work is applied to several cases and further suggests a uniform way to verify the Arthur's conjecture for $R$-groups in the setting.
