Local Langlands Correspondence for Even Orthogonal Groups via Theta Lifts
Representation Theory
2021-09-09 v2 Number Theory
Abstract
Using theta correspondence, we obtain a classification of irreducible representations of an arbitrary even orthogonal group (i.e. the local Langlands correspondence) by deducing it from the local Langlands correspondence for symplectic groups due to Arthur. Moreover,we show that our classifications coincide with the local Langlands correspondence established by Arthur and formulated precisely by Atobe-Gan for quasi-split even orthogonal groups.
Keywords
Cite
@article{arxiv.2008.02632,
title = {Local Langlands Correspondence for Even Orthogonal Groups via Theta Lifts},
author = {Rui Chen and Jialiang Zou},
journal= {arXiv preprint arXiv:2008.02632},
year = {2021}
}
Comments
56 pages; minor revision. arXiv admin note: text overlap with arXiv:1502.03528 by other authors