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arXiv · 2008.01771

Local Langlands Correspondence for Unitary Groups via Theta Lifts

Rui Chen·Jialiang Zou
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Abstract

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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Rui Chen, Jialiang Zou. 2020-08-04. Local Langlands Correspondence for Unitary Groups via Theta Lifts. https://arxiv.org/abs/2008.01771

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