Local Langlands Correspondence for Unitary Groups via Theta Lifts
Representation Theory
2021-10-12 v2 Number Theory
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.
Keywords
Cite
@article{arxiv.2008.01771,
title = {Local Langlands Correspondence for Unitary Groups via Theta Lifts},
author = {Rui Chen and Jialiang Zou},
journal= {arXiv preprint arXiv:2008.01771},
year = {2021}
}
Comments
arXiv admin note: text overlap with arXiv:1409.6824 by other authors