Arthur's multiplicity formula for even orthogonal and unitary groups
Number Theory
2024-10-22 v3 Representation Theory
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.
Keywords
Cite
@article{arxiv.2103.07956,
title = {Arthur's multiplicity formula for even orthogonal and unitary groups},
author = {Rui Chen and Jialiang Zou},
journal= {arXiv preprint arXiv:2103.07956},
year = {2024}
}
Comments
61 pages, accepted for publication in JEMS, minor revisions included