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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2312.16389 |
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| _version_ | 1866913305979781120 |
|---|---|
| author | Luo, Yi |
| author_facet | Luo, Yi |
| contents | Kaletha extended local Langlands conjectures to a certain class of disconnected groups and proved them for disconnected tori. Our first main result is a reinterpretation of the local Langlands correspondence for disconnected tori. Our second, and the central objective of this paper, is to establish an automorphic multiplicity formula for disconnected tori. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_16389 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the multiplicity formula for discrete automorphic representations of disconnected tori Luo, Yi Representation Theory Number Theory Kaletha extended local Langlands conjectures to a certain class of disconnected groups and proved them for disconnected tori. Our first main result is a reinterpretation of the local Langlands correspondence for disconnected tori. Our second, and the central objective of this paper, is to establish an automorphic multiplicity formula for disconnected tori. |
| title | On the multiplicity formula for discrete automorphic representations of disconnected tori |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2312.16389 |