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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.19344 |
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| _version_ | 1866911332348985344 |
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| author | Li, Zhe Wang, Shanwen Zhu, Zhiqi |
| author_facet | Li, Zhe Wang, Shanwen Zhu, Zhiqi |
| contents | In this note, we make explicit the correspondence between Harish-Chandra parameters and Langlands-Vogan parameters for symplectic groups and orthogonal groups of equal rank over reals. As an application, we reformulate Moeglin's results and Paul's work on the Howe correspondence for symplectic-orthogonal dual pairs using Langlands-Vogan parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19344 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Parameters and Theta lifts Li, Zhe Wang, Shanwen Zhu, Zhiqi Representation Theory Number Theory In this note, we make explicit the correspondence between Harish-Chandra parameters and Langlands-Vogan parameters for symplectic groups and orthogonal groups of equal rank over reals. As an application, we reformulate Moeglin's results and Paul's work on the Howe correspondence for symplectic-orthogonal dual pairs using Langlands-Vogan parameters. |
| title | Parameters and Theta lifts |
| topic | Representation Theory Number Theory |
| url | https://arxiv.org/abs/2512.19344 |