Archimedean period relations for Rankin-Selberg convolutions
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915080746041344 |
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| author | Jin, Yubo Liu, Dongwen Sun, Binyong |
| author_facet | Jin, Yubo Liu, Dongwen Sun, Binyong |
| contents | We formulate and prove the archimedean period relations for Rankin-Selberg convolutions of $\text{GL}(n)\times \text{GL}(n)$ and $\text{GL}(n)\times \text{GL}(n-1)$, for all generic cohomological representations. As a consequence, we prove the non-vanishing of the archimedean modular symbols. This extends the earlier results in [LLS24] for essentially tempered representations of $\text{GL}(n)\times\text{GL}(n-1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18805 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Archimedean period relations for Rankin-Selberg convolutions Jin, Yubo Liu, Dongwen Sun, Binyong Representation Theory We formulate and prove the archimedean period relations for Rankin-Selberg convolutions of $\text{GL}(n)\times \text{GL}(n)$ and $\text{GL}(n)\times \text{GL}(n-1)$, for all generic cohomological representations. As a consequence, we prove the non-vanishing of the archimedean modular symbols. This extends the earlier results in [LLS24] for essentially tempered representations of $\text{GL}(n)\times\text{GL}(n-1)$. |
| title | Archimedean period relations for Rankin-Selberg convolutions |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2412.18805 |