Kumar Balasubramanian

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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.RT2016

Self-dual representations of Sp(4,F)

Kumar Balasubramanian

Let $F$ be a non-Archimedean local field of characteristic $0$ and $G = S p (4, F)$ . Let $(π, W)$ be an irreducible smooth self-dual representation $G$ . The space $W$ of $π$ admits a non…

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

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

Self-dual representations of Sp(4,F)

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