3 papers
math.RT2026
Twisted Jacquet modules associated to maximal parabolic subgroups and cuspidal representations of
Kumar Balasubramanian, Krishna Kaipa, Himanshi Khurana
Let be a cuspidal representation of over a finite field . Let be the Levi decomposition of a maximal parabolic subgroup corresponding to the partition $(k,…
math.RA2024
On the cardinality of matrices with prescribed rank and partial trace over a finite field
Kumar Balasubramanian, Krishna Kaipa, Himanshi Khurana
Let be the finite field of order and $\M(n,r, F)$ be the set of matrices of rank over the field . For and $A\in \M(n,F)$, let $$Z^α_{A,r}=\lef…
math.RT2024
Dimension formula for the twisted Jacquet module of a cuspidal representation of $\GL(2n,\mathbb{F}_q)$
Kumar Balasubramanian, Himanshi Khurana
Let be a finite field and $G=\GL(2n,F)$. In this paper, we calculate the dimension of the twisted Jacquet module where $A\in \M(n,F)$ is a rank matrix and $…