Arthur's multiplicity formula for even orthogonal and unitary groups
arXiv:2103.07956
Abstract
Let G be an even orthogonal or unitary group over a number field. Based on the same observation used in arXiv:1705.10106, we prove the Arthur's multiplicity formula for the generic part of the automorphic discrete spectrum of G by using the theta lift. We also consider a class of non-generic A-parameters and obtain a multiplicity formula in this case. In particular, we obtain a description of the full automorphic discrete spectrum of even orthogonal or unitary groups with Witt index less or equal to one.
61 pages, accepted for publication in JEMS, minor revisions included
References in corpus (4)
- Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
- Endoscopic Classification of Representations: Inner Forms of Unitary Groups
- Comparaison des paramètres de Langlands et des exposants à l'intérieur d'un paquet d'Arthur
- Local Langlands Correspondence for Unitary Groups via Theta Lifts