Mahendra Kumar Verma

activity

20232026

collaborators

7 papers

math.RT2026

Tempered Symplectic Distinction For Quaternionic $G L_{n} (D)$ : A Conjecture of PRASAD

Mahendra Kumar Verma

Let $F$ be a non-Archimedean local field of characteristic zero, let $D / F$ be the quaternion division algebra, and put $G_{n} = G L_{n} (D)$ and $H_{n} = S p_{n} (D)$ . We prove Prasad's revise…

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…

cond-mat.stat-mech2024

Spectral Energy Transfers in Domain Growth Problems

Pradeep Kumar Yadav, Mahendra Kumar Verma, Sanjay Puri

In the domain growth process, small structures gradually vanish, leaving behind larger ones. We investigate spectral energy transfers in two standard models for domain growth: (a)…

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…

math.RT2023

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…

Tempered Symplectic Distinction For Quaternionic GLn​(D): A Conjecture of PRASAD

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

Spectral Energy Transfers in Domain Growth Problems

A note on Jacquet modules of general linear groups

On the Jacquet functor of Symplectic groups

Symplectic model for ladder and unitary representations

Symplectic period for a representation of GLn​(D)

Tempered Symplectic Distinction For Quaternionic $G L_{n} (D)$ : A Conjecture of PRASAD

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