On local zeta-integrals for GSp(4) and GSp(4) x GL(2)
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arXiv
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866917631867486208 |
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| author | Loeffler, David |
| author_facet | Loeffler, David |
| contents | We prove that Novodvorsky's definition of local L-factors for generic representations of GSp(4) x GL(2) is compatible with the local Langlands correspondence when the GL(2) representation is non-supercuspidal. We also give an interpretation in terms of Langlands parameters of the "exceptional" poles of the GSp(4) x GL(2) L-factor, and of the "subregular" poles of the GSp(4) L-factor studied in recent work of Roesner and Weissauer. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_15106 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On local zeta-integrals for GSp(4) and GSp(4) x GL(2) Loeffler, David Representation Theory Number Theory 22E50, 11F70 We prove that Novodvorsky's definition of local L-factors for generic representations of GSp(4) x GL(2) is compatible with the local Langlands correspondence when the GL(2) representation is non-supercuspidal. We also give an interpretation in terms of Langlands parameters of the "exceptional" poles of the GSp(4) x GL(2) L-factor, and of the "subregular" poles of the GSp(4) L-factor studied in recent work of Roesner and Weissauer. |
| title | On local zeta-integrals for GSp(4) and GSp(4) x GL(2) |
| topic | Representation Theory Number Theory 22E50, 11F70 |
| url | https://arxiv.org/abs/2011.15106 |