Construction of Local Arthur Packets for Metaplectic Groups and the Adams Conjecture
Representation Theory
2026-04-28 v2 Number Theory
Abstract
In this article, we explicitly construct local Arthur packets for metaplectic groups over non-Archimedean local fields of characteristic zero. Our construction is a generalization of Atobe's construction of local Arthur packets for classical groups. As a result, we prove that the local Arthur packets are multiplicity free. Moreover, we generalize Moeglin's earlier work about the Adams conjecture to metaplectic groups.
Keywords
Cite
@article{arxiv.2603.11602,
title = {Construction of Local Arthur Packets for Metaplectic Groups and the Adams Conjecture},
author = {Jiahe Chen},
journal= {arXiv preprint arXiv:2603.11602},
year = {2026}
}