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arXiv · 2407.14240

Dimension formula for the twisted Jacquet module of a cuspidal representation of $\GL(2n,\mathbb{F}_q)$

Kumar Balasubramanian·Himanshi Khurana
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Abstract

Let $F$ be a finite field and $G=\GL(2n,F)$. In this paper, we calculate the dimension of the twisted Jacquet module $\pi_{N,\psi_{A}}$ where $A\in \M(n,F)$ is a rank $k$ matrix and $\pi$ is an irreducible cuspidal representation of $G$.

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BibTeXRIS

Kumar Balasubramanian, Himanshi Khurana. 2024-07-19. Dimension formula for the twisted Jacquet module of a cuspidal representation of $\GL(2n,\mathbb{F}_q)$. https://arxiv.org/abs/2407.14240

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