Hariom Sharma

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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.RT2026

Symplectic model for Zelevinsky modules of GL(n,D)

Hariom Sharma

Let D be a quaternion division algebra over a non-archimedean local field F of characteristic zero. This article demonstrates the existence and uniqueness of the symplectic model f…

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…