On the local Langlands conjectures for disconnected groups
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913138084937728 |
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| author | Kaletha, Tasho |
| author_facet | Kaletha, Tasho |
| contents | We extend the local Langlands conjectures to a certain class of disconnected groups, allowing non-abelian component groups, and recast in this language some aspects of twisted endoscopy. We further introduce normalized twisted transfer factors and a normalized correspondence between an $L$-packet for a disconnected group and the set of representations of the centralizer groups of its Langlands parameter. We prove the first instance of this conjecture, in which the identity component of the (possibly non-abelian) disconnected group is a torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_02519 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the local Langlands conjectures for disconnected groups Kaletha, Tasho Representation Theory Number Theory We extend the local Langlands conjectures to a certain class of disconnected groups, allowing non-abelian component groups, and recast in this language some aspects of twisted endoscopy. We further introduce normalized twisted transfer factors and a normalized correspondence between an $L$-packet for a disconnected group and the set of representations of the centralizer groups of its Langlands parameter. We prove the first instance of this conjecture, in which the identity component of the (possibly non-abelian) disconnected group is a torus. |
| title | On the local Langlands conjectures for disconnected groups |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2210.02519 |