论文标题

真实统一团体的亚瑟数据包的等效定义

Equivalent definitions of Arthur packets for real unitary groups

论文作者

Robert, Nicolas Arancibia, Mezo, Paul

论文摘要

Mok和Moeglin-Renard已为单一群体定义了Arthur Packet。他们的定义遵循亚瑟(Arthur)在古典群体上的工作并依靠谐波分析。对于真实的组,由于亚当斯·巴尔巴斯·沃根(Adams-Barbasch-Vogan)而引起的Arthur数据包有一个替代定义。它依靠捆捆理论技术而不是谐波分析。我们证明,在实际统一群体的情况下,亚瑟数据包的这两个定义是等效的。

Mok and Moeglin-Renard have defined Arthur packets for unitary groups. Their definitions follow Arthur's work on classical groups and rely on harmonic analysis. For real groups there is an alternative definition of Arthur packets due to Adams-Barbasch-Vogan. It relies on sheaf-theoretic techniques instead of harmonic analysis. We prove that these two definitions of Arthur packets are equivalent in the case of real unitary groups.

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