Mahendra Kumar Verma

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math.RT2026

On representations of GL(n) distinguished by GL(1)*GL(n-1) over a quaternion division algebra

Prem Dagar, Hariom Sharma, Mahendra Kumar Verma

Let $D$ be a quaternion division algebra over a non-Archimedean local field $F$ of characteristic zero, and let $G_{n} = G L_{n} (D)$ . Let $H_{1, n - 1}$ denote the subgroup of $G_{n}$ consisti…

math.RT2024

A note on Jacquet modules of general linear groups

Prem Dagar, Mahendra Kumar Verma

Let F be a non-Archimedean local field. Consider G_n:= GL_n(F) and let M:= G_l * G_{n-l} be a maximal Levi subgroup of G_n. In this article, we compute the semisimplified Jacquet m…

math.RT2024

On the Jacquet functor of Symplectic groups

Prem Dagar, Mahendra Kumar Verma

We prove that, for an equivalence class of irreducible smooth representations of the symplectic group Sp(2n,F) over a non-Archimedean local field F, the Jacquet functor with respec…

math.RT2024

Symplectic model for ladder and unitary representations

Hariom Sharma, Mahendra Kumar Verma

Let $D$ denote a quaternion division algebra over a non-archimedean local field $F$ with characteristic zero. Let $S p_{n} (D)$ be the unique non-split inner form of the symplectic gro…