Kumar Balasubramanian

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math.RT2026

Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of $G L (n, q)$

Kumar Balasubramanian, Krishna Kaipa, Himanshi Khurana

Let $I ¨ $ be a cuspidal representation of $G L (n, F)$ over a finite field $F$ . Let $P = M N$ be the Levi decomposition of a maximal parabolic subgroup corresponding to the partition $(k,…

math.RT2024

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

Kumar Balasubramanian, Himanshi Khurana

Let $F$ be a finite field and $G=\GL(2n,F)$. In this paper, we calculate the dimension of the twisted Jacquet module $I ¨ _{N, I ¨ _{A}}$ where $A\in \M(n,F)$ is a rank $k$ matrix and $…

Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of GL(n,q)

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

Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of $G L (n, q)$