Construction of Local Arthur Packets for Metaplectic Groups and the Adams Conjecture
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866911622307512320 |
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| author | Chen, Jiahe |
| author_facet | Chen, Jiahe |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_11602 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Construction of Local Arthur Packets for Metaplectic Groups and the Adams Conjecture Chen, Jiahe Representation Theory Number Theory 22E50 (Primary) 11F27, 11F70 (Secondary) 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. |
| title | Construction of Local Arthur Packets for Metaplectic Groups and the Adams Conjecture |
| topic | Representation Theory Number Theory 22E50 (Primary) 11F27, 11F70 (Secondary) |
| url | https://arxiv.org/abs/2603.11602 |