Local Transfer and Reducibility of Induced Representations of $p$-adic Groups of Classical Type
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2014
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| author | Asgari, Mahdi Cogdell, James W. Shahidi, Freydoon |
| author_facet | Asgari, Mahdi Cogdell, James W. Shahidi, Freydoon |
| contents | We analyze reducibility points of representations of $p$-adic groups of classical type, induced from generic supercuspidal representations of maximal Levi subgroups, both on and off the unitary axis. We are able to give general, uniform results in terms of local functorial transfers of the generic representations of the groups we consider. The existence of the local transfers follows from global generic transfers that were established earlier. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1412_6191 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Local Transfer and Reducibility of Induced Representations of $p$-adic Groups of Classical Type Asgari, Mahdi Cogdell, James W. Shahidi, Freydoon Number Theory Representation Theory 22E50, 11F70 We analyze reducibility points of representations of $p$-adic groups of classical type, induced from generic supercuspidal representations of maximal Levi subgroups, both on and off the unitary axis. We are able to give general, uniform results in terms of local functorial transfers of the generic representations of the groups we consider. The existence of the local transfers follows from global generic transfers that were established earlier. |
| title | Local Transfer and Reducibility of Induced Representations of $p$-adic Groups of Classical Type |
| topic | Number Theory Representation Theory 22E50, 11F70 |
| url | https://arxiv.org/abs/1412.6191 |