On parabolic induction and Jacquet modules over p-adic group
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912570041958400 |
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| author | Chai, Jingsong |
| author_facet | Chai, Jingsong |
| contents | In this note, using tensor products with appropriate bimodules over Hecke algebras, we uniformly describe parabolic induction and Jacquet module. We also recover a result of Loke and Przebinda on construction of big theta lift in local theta correspondenc using similar description. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03823 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On parabolic induction and Jacquet modules over p-adic group Chai, Jingsong Representation Theory In this note, using tensor products with appropriate bimodules over Hecke algebras, we uniformly describe parabolic induction and Jacquet module. We also recover a result of Loke and Przebinda on construction of big theta lift in local theta correspondenc using similar description. |
| title | On parabolic induction and Jacquet modules over p-adic group |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2509.03823 |