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

Imed Basdouri, Mabrouk Ben Ammar

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