Dimension formula for the twisted Jacquet module of a cuspidal representation of $\GL(2n,\mathbb{F}_q)$
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911961964347392 |
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| author | Balasubramanian, Kumar Khurana, Himanshi |
| author_facet | Balasubramanian, Kumar Khurana, Himanshi |
| contents | Let $F$ be a finite field and $G=\GL(2n,F)$. In this paper, we calculate the dimension of the twisted Jacquet module $π_{N,ψ_{A}}$ where $A\in \M(n,F)$ is a rank $k$ matrix and $π$ is an irreducible cuspidal representation of $G$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_14240 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dimension formula for the twisted Jacquet module of a cuspidal representation of $\GL(2n,\mathbb{F}_q)$ Balasubramanian, Kumar Khurana, Himanshi Representation Theory Let $F$ be a finite field and $G=\GL(2n,F)$. In this paper, we calculate the dimension of the twisted Jacquet module $π_{N,ψ_{A}}$ where $A\in \M(n,F)$ is a rank $k$ matrix and $π$ is an irreducible cuspidal representation of $G$. |
| title | Dimension formula for the twisted Jacquet module of a cuspidal representation of $\GL(2n,\mathbb{F}_q)$ |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2407.14240 |