Representations of the $p$-Adic $GSpin_4$ and $GSpin_6$ and the Adjoint L-Function
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913529476415488 |
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| author | Asgari, Mahdi Choiy, Kwangho |
| author_facet | Asgari, Mahdi Choiy, Kwangho |
| contents | We prove a conjecture of B. Gross and D. Prasad about determination of generic $L$-packets in terms of the analytic properties of the adjoint $L$-function for $p$-adic general even spin groups of semi-simple ranks 2 and 3. We also explicitly write the adjoint $L$-function for each $L$-packet in terms of the local Langlands $L$-functions for the general linear groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_05348 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Representations of the $p$-Adic $GSpin_4$ and $GSpin_6$ and the Adjoint L-Function Asgari, Mahdi Choiy, Kwangho Number Theory Representation Theory 11F85, 22E50 We prove a conjecture of B. Gross and D. Prasad about determination of generic $L$-packets in terms of the analytic properties of the adjoint $L$-function for $p$-adic general even spin groups of semi-simple ranks 2 and 3. We also explicitly write the adjoint $L$-function for each $L$-packet in terms of the local Langlands $L$-functions for the general linear groups. |
| title | Representations of the $p$-Adic $GSpin_4$ and $GSpin_6$ and the Adjoint L-Function |
| topic | Number Theory Representation Theory 11F85, 22E50 |
| url | https://arxiv.org/abs/2301.05348 |