The generic dual of p-adic groups and applications
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916203140743168 |
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| author | Jantzen, Chris Liu, Baiying |
| author_facet | Jantzen, Chris Liu, Baiying |
| contents | In this paper, we give a uniform classification of the generic dual of quasi-split classical groups, their similitude counterparts, and general spin groups. As applications, for quasi-split classical groups, we show that the functorial lifting maps constructed by Cogdell, Kim, Piatetski-Shapiro and Shahidi are surjective. We also analyze structures of general local Langlands parameters and explicitly construct a distinguished element for each local L-packet. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07111 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The generic dual of p-adic groups and applications Jantzen, Chris Liu, Baiying Representation Theory Number Theory In this paper, we give a uniform classification of the generic dual of quasi-split classical groups, their similitude counterparts, and general spin groups. As applications, for quasi-split classical groups, we show that the functorial lifting maps constructed by Cogdell, Kim, Piatetski-Shapiro and Shahidi are surjective. We also analyze structures of general local Langlands parameters and explicitly construct a distinguished element for each local L-packet. |
| title | The generic dual of p-adic groups and applications |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2404.07111 |