Mahendra Kumar Verma

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math.RT2026

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.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

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…

math.RT2024

Symplectic period for a representation of $G L_{n} (D)$

Hariom Sharma, Mahendra Kumar Verma

Let $D$ be a quaternion division algebra over a non-archimedean local field $K$ of characteristic zero, and let $S p_{n} (D)$ be the unique non-split inner form of the symplectic group…

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…

On the Jacquet functor of Symplectic groups

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

Symplectic model for ladder and unitary representations

Symplectic period for a representation of GLn​(D)

A note on Jacquet modules of general linear groups

Symplectic period for a representation of $G L_{n} (D)$