M. ben Ammar

activity

20032026

most citedDifferential Operators on the Weighted Densities on the Supercircle

S^{1∣ n}

3 citations · 3 across the 6 of their papers we have counts for

collaborators

14 papers

math.DG2026

Deformations of the $osp (n ∣2)$ -action on the superspace of symbols of differential operators on $R^{1∣ n}$

Imed Basdouri, Mabrouk Ben Ammar

We study formal deformations of the natural $\osp(n|2)$-action, $n \geq 3$ , on the superspace $\Sc^n_d=\bigoplus_{k\geq 0}\Fc^n_{d-\frac{k}{2}}$ of symbols of linear differential op…

math.DG2023

$sl (2)$ -cohomology on multidifferential operators space

Didier Arnal, Mabrouk Ben Ammar

In this paper, we consider the known question of the computation of the cohomology spaces for the natural action of the Lie algebra $sl (2)$ acting on the space $\Dlm$ of…

math.RT2017

Normalization of a nonlinear representation of a Lie algebra, regular on an abelian ideal

Mabrouk Ben Ammar

We consider a nonlinear representation of a Lie algebra which is regular on an abelian ideal, we define a normal form which generalizes that defined in [D. Arnal, M. Ben Ammar, M.…

math.RT2016

Deformation of $osp (2∣2)$ -Modules of Symbols

Mabrouk ben Ammar, Wafa Mtaouaa

We classify deformations of $osp (2∣2) -$ module structure on the spaces of symbols $S_{d}^{2}$ of differential operators acting on the space of weighted densities $…

math.RT2015

Cohomology of $sl (2)$ acting on the space of $n$ -ary differential operators on $R$

Mabrouk Ben Ammar, Rabeb Sidaoui

We consider the spaces $F_{μ}$ of polynomial $μ$ -densities on the line as $sl (2)$ -modules and then we compute the cohomological spaces $\mathrm{H}^1_\mathrm{diff…

math.DG2013★ 3 cited

Differential Operators on the Weighted Densities on the Supercircle $S^{1∣ n}$

Nader Belghith, Mabrouk Ben Ammar, Nizar Ben Fraj

Over the $(1, n)$ -dimensional real supercircle, we consider the $K (n)$ -modules of linear differential operators, $D_{λ, μ}^{n}$ , acting on the superspaces of weighted…

Deformations of the osp(n∣2)-action on the superspace of symbols of differential operators on R1∣n

sl(2)-cohomology on multidifferential operators space

Normalization of a nonlinear representation of a Lie algebra, regular on an abelian ideal

Deformation of osp(2∣2)-Modules of Symbols

Cohomology of sl(2) acting on the space of n-ary differential operators on R

Differential Operators on the Weighted Densities on the Supercircle S1∣n

Deformations of the $osp (n ∣2)$ -action on the superspace of symbols of differential operators on $R^{1∣ n}$

$sl (2)$ -cohomology on multidifferential operators space

Deformation of $osp (2∣2)$ -Modules of Symbols

Cohomology of $sl (2)$ acting on the space of $n$ -ary differential operators on $R$

Differential Operators on the Weighted Densities on the Supercircle $S^{1∣ n}$