Local Langlands Conjecture for $p$-adic $GSpin_4,$ $GSpin_6,$ and their inner forms
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| Format: | Preprint |
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2015
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| _version_ | 1866917793751891968 |
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| author | Asgari, Mahdi Choiy, Kwangho |
| author_facet | Asgari, Mahdi Choiy, Kwangho |
| contents | We establish the local Langlands conjecture for small rank general spin groups $GSpin_4$ and $GSpin_6$ as well as their inner forms. We construct appropriate $L$-packets and prove that these $L$-packets satisfy the properties expected of them to the extent that the corresponding local factors are available. We are also able to determine the exact sizes of the $L$-packets in many cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1510_02553 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Local Langlands Conjecture for $p$-adic $GSpin_4,$ $GSpin_6,$ and their inner forms Asgari, Mahdi Choiy, Kwangho Number Theory Representation Theory 22E50 (Primary), 11S37, 20G25, 22E35 (Secondary) We establish the local Langlands conjecture for small rank general spin groups $GSpin_4$ and $GSpin_6$ as well as their inner forms. We construct appropriate $L$-packets and prove that these $L$-packets satisfy the properties expected of them to the extent that the corresponding local factors are available. We are also able to determine the exact sizes of the $L$-packets in many cases. |
| title | Local Langlands Conjecture for $p$-adic $GSpin_4,$ $GSpin_6,$ and their inner forms |
| topic | Number Theory Representation Theory 22E50 (Primary), 11S37, 20G25, 22E35 (Secondary) |
| url | https://arxiv.org/abs/1510.02553 |