Arthur猜想在$R$ -群上的限制相容性
On compatibility in restriction of Arthur's conjecture for $R$-groups
摘要：
研究了$R$ -群的Arthur猜想在限制$p$ -adic群的Levi子群的离散级数表示到具有相同导群的闭子群的离散级数表示时的相容性.这种相容性是有条件的，因为它一般在自然局部朗兰兹对应下成立。这项工作被应用到几种情况下，并进一步提出了一个统一的方法来验证阿瑟的猜想$R$ -群的设置。
英文摘要：
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.
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