The Twisted Doubling Method in Algebraic Families
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913567332106240 |
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| author | Girsch, Johannes |
| author_facet | Girsch, Johannes |
| contents | We define the twisted doubling zeta integrals of Cai-Friedberg-Ginzburg-Kaplan in the setting of algebraic families. We then prove a rationality result and a functional equation for these zeta integrals. This allows us to define an unnormalized $γ$-factor associated to certain families of representation of a classical group times a general linear group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_22525 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Twisted Doubling Method in Algebraic Families Girsch, Johannes Representation Theory Number Theory 11F70 11S40 22E50 We define the twisted doubling zeta integrals of Cai-Friedberg-Ginzburg-Kaplan in the setting of algebraic families. We then prove a rationality result and a functional equation for these zeta integrals. This allows us to define an unnormalized $γ$-factor associated to certain families of representation of a classical group times a general linear group. |
| title | The Twisted Doubling Method in Algebraic Families |
| topic | Representation Theory Number Theory 11F70 11S40 22E50 |
| url | https://arxiv.org/abs/2410.22525 |