M. Hassain

activity

20182025

collaborators

4 papers

math.RT2025

On tensor products of regular characters of the general linear and unitary groups of degree two over the principal ideal local rings of finite length

Archita Gupta, M Hassain, Pooja Singla

Let $R$ be a principal ideal local ring of finite length with a finite residue field of odd characteristic. Let $G (R)$ denote either the general linear group or the general unitary…

math.RT2024

Branching rules for the restriction of regular representations of $GL_{2} (o / p^{r})$ to $SL_{2} (o / p^{r}) .$

M Hassain

Let $o$ be a compact discrete valuation ring with maximal ideal $p$ such that the finite residue field $o / p$ has characteristic $p .$ For…

math.RT2022

Construction of representations of compact special linear groups of degree two

M Hassain

We construct the finite-dimensional continuous complex representations of $SL_{2}$ over compact discrete valuation rings of even residual characteristic. We also prove that…

math.RT2018

Representation Growth of Compact Special Linear Groups of degree two

M Hassain, Pooja Singla

We study the finite-dimensional continuous complex representations of $SL_{2}$ over the ring of integers of non-Archimedean local fields of even residual characteristic. We…

On tensor products of regular characters of the general linear and unitary groups of degree two over the principal ideal local rings of finite length

Branching rules for the restriction of regular representations of GL2​(o/pr) to SL2​(o/pr).

Construction of representations of compact special linear groups of degree two

Representation Growth of Compact Special Linear Groups of degree two

Branching rules for the restriction of regular representations of $GL_{2} (o / p^{r})$ to $SL_{2} (o / p^{r}) .$