论文标题

在本地上的$γ$ faltor上,用于古典组的功能字段

On the local doubling $γ$-factor for classical groups over function fields

论文作者

Kakuhama, Hirotaka

论文摘要

在本文中,我们给出了一个分析性$γ$的精确定义,该分析性$γ$因素是在奇数特征的局部函数字段上对经典组的不可约表示,以便满足一些值得注意的属性,足以独特地定义它。我们使用加倍方法来定义$γ$ -FACTOR,并且主要定理扩展了Lapid-Rallis,Gan,Yamana的作品,并通过奇数特征的局部函数字段到古典组的作者。

In this paper, we give a precise definition of an analytic $γ$-factor of an irreducible representation of a classical group over a local function field of odd characteristic so that it satisfies some notable properties which are enough to define it uniquely. We use the doubling method to define the $γ$-factor, and the main theorem extends works of Lapid-Rallis, Gan, Yamana, and the author to a classical group over a local function field of odd characteristic.

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