On Ihara's lemma for definite unitary groups
Number Theory
2025-06-30 v2 Representation Theory
Abstract
Clozel, Harris, and Taylor proposed a conjectural generalized Ihara's lemma for definite unitary groups. In this paper, we prove their conjecture with banal coefficients under some conditions. As an application, we prove a level-raising result for automorphic forms associated to definite unitary groups.
Cite
@article{arxiv.2504.07504,
title = {On Ihara's lemma for definite unitary groups},
author = {Xiangqian Yang},
journal= {arXiv preprint arXiv:2504.07504},
year = {2025}
}
Comments
35 pages. Comments welcome!