The Binary $\mathfrak{aff}(n|1)$-Invariant Differential Operators On Weighted Densities On The Superspace ${\mathbb{R}}^{1|n}$ And $\mathfrak{aff}(n|1)$-Relative Cohomology

Khaled Basdouri, Salem Omri, Wissal Swilah

We consider the $\mathfrak{aff}(n|1)-$module structure on the spaces of differential bilinear operators acting on the superspaces of weighted densities. We classify $\mathfrak{aff}…