Kumar Balasubramanian

collaborators

4 papers

math.RT2024

Dualizing involutions on the $n$ -fold metaplectic cover of $\GL(2)$

Kumar Balasubramanian, Sanjeev Kumar Pandey, Renu Joshi +1

Let $F$ be a non-Archimedean local field of characteristic zero and $G=\GL(2,F)$. Let $n \geq 2$ be a positive integer and $\widetilde{G}=\widetilde{\GL}(2,F)$ be the $n$ -fold metap…

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 $π_{N, ψ_{A}}$ where $A\in \M(n,F)$ is a rank $k$ matrix and $π$ …

math.RA2024

On the cardinality of matrices with prescribed rank and partial trace over a finite field

Kumar Balasubramanian, Krishna Kaipa, Himanshi Khurana

Let $F$ be the finite field of order $q$ and $\M(n,r, F)$ be the set of $n \times n$ matrices of rank $r$ over the field $F$ . For $α \in F$ and $A\in \M(n,F)$, let $$Z^α_{A,r}=\left\…

math.RT2016

Self-dual representations of Sp(4,F)