3 papers
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 be a quaternion division algebra over a non-Archimedean local field of characteristic zero, and let . Let denote the subgroup of 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…