Local Langlands correspondence for unitary groups via theta lifts

Chen, Rui; Zou, Jialiang

doi:10.1090/ert/588

Local Langlands correspondence for unitary groups via theta lifts
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by Rui Chen and Jialiang Zou

Represent. Theory 25 (2021), 861-896

DOI: https://doi.org/10.1090/ert/588

Published electronically: October 13, 2021

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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 is due to Mok) to non quasi-split unitary groups. We also prove that our classification satisfies some good properties, which characterize it uniquely. In particular, this paper provides an alternative approach to the works of Kaletha-Mínguez-Shin-White and Mœglin-Renard.

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