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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.09062 |
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| _version_ | 1866914254908555264 |
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| author | Chen, Cheng Chen, Rui Zou, Jialiang |
| author_facet | Chen, Cheng Chen, Rui Zou, Jialiang |
| contents | In this paper, we generalize the method of Gan-Ichino and Atobe in [GI16][A18] to the field of real numbers and prove the basic tempered case of the local Gan-Gross-Prasad conjecture for Fourier-Jacobi models of symplectic-metaplectic groups, based on the tempered case of the conjecture for Bessel models proved in [CL22] by Chen-Luo. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09062 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fourier-Jacobi models for real symplectic-metaplectic groups: the basic case Chen, Cheng Chen, Rui Zou, Jialiang Number Theory Representation Theory In this paper, we generalize the method of Gan-Ichino and Atobe in [GI16][A18] to the field of real numbers and prove the basic tempered case of the local Gan-Gross-Prasad conjecture for Fourier-Jacobi models of symplectic-metaplectic groups, based on the tempered case of the conjecture for Bessel models proved in [CL22] by Chen-Luo. |
| title | Fourier-Jacobi models for real symplectic-metaplectic groups: the basic case |
| topic | Number Theory Representation Theory |
| url | https://arxiv.org/abs/2601.09062 |