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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.06450 |
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| _version_ | 1866914790757105664 |
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| author | Dagar, Prem Verma, Mahendra Kumar |
| author_facet | Dagar, Prem Verma, Mahendra Kumar |
| contents | Let $\F$ be a non-Archimedean local field.~Consider $\G_{n}:= \Sp_{2n}(\F)$ and let $\M:= \GL_l \times \G_{n-l}$ be a maximal Levi subgroup of $\G_{n}$.~This paper undertakes the computation of the Jacquet module of representations of $\G_{n}$ with respect to the maximal Levi subgroup, belonging to a particular class. Finally, we conclude that for a subclass of representations of $\G_{n},$ multiplicity of the Jacquet module does not exceed 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06450 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Jacquet functor of Symplectic groups Dagar, Prem Verma, Mahendra Kumar Representation Theory 20G05, 20C30, 20C33, 46F10, 47A67 Let $\F$ be a non-Archimedean local field.~Consider $\G_{n}:= \Sp_{2n}(\F)$ and let $\M:= \GL_l \times \G_{n-l}$ be a maximal Levi subgroup of $\G_{n}$.~This paper undertakes the computation of the Jacquet module of representations of $\G_{n}$ with respect to the maximal Levi subgroup, belonging to a particular class. Finally, we conclude that for a subclass of representations of $\G_{n},$ multiplicity of the Jacquet module does not exceed 2. |
| title | On the Jacquet functor of Symplectic groups |
| topic | Representation Theory 20G05, 20C30, 20C33, 46F10, 47A67 |
| url | https://arxiv.org/abs/2405.06450 |