Prem Dagar

collaborators

5 papers

math.RT2026

Parabolically induced representations of $G L_{n} (O_{l})$

Prem Dagar

Let $O$ be the ring of integers of a non-Archimedean local field with uniformizer $ϖ$ , and let $O_{ℓ} = O / ϖ^{ℓ} O$ for $ℓ \geq 1$ . In…

math.RT2026

On Representations of $GL_{n} (D)$ admitting a generalized linear period

Prem Dagar, Hariom Sharma

Let $D$ be a quaternion division algebra over a non-Archimedean local field $F$ of characteristic zero, and let $G_{n} = GL_{n} (D)$ . Let $\ma…

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…

Parabolically induced representations of GLn​(Ol​)

On Representations of GLn​(D) admitting a generalized linear period

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

A note on Jacquet modules of general linear groups

On the Jacquet functor of Symplectic groups

Parabolically induced representations of $G L_{n} (O_{l})$

On Representations of $GL_{n} (D)$ admitting a generalized linear period