论文标题

通过Theta Lifts的统一团体的本地Langlands通信

Local Langlands Correspondence for Unitary Groups via Theta Lifts

论文作者

Chen, Rui, Zou, Jialiang

论文摘要

使用theta对应关系,我们将准统一组的不可约表示(所谓的局部兰兰德对应关系)扩展到非准拆分单一群体中。我们还证明,我们的分类满足了一些良好的特性,这些特性是独特的。特别是,这为Kaletha-Minguez-Shin-White和Moeglin-Renard的作品提供了另一种方法。

Using the theta correspondence, we extend the classification of irreducible representations of quasi-split unitary groups (the so-called local Langlands correspondence, which was established in an early paper of Mok) to non quasi-split unitary groups. We also prove that our classification satisfies some good properties, which characterize it uniquely. In particular, this provides an alternative approach to the works of Kaletha-Minguez-Shin-White and Moeglin-Renard.

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