The spaces ${\mathrm{H}}^n(\mathfrak{osp}(1|2),M)$ for some weight modules $M$

Didier Arnal, Mabrouk Ben Ammar, Bechir Dali

We entirely compute the cohomology for a natural and large class of $\mathfrak{osp}(1|2)$ modules $M$. We study the restriction to the $\mathfrak{sl}(2)$ cohomology of $M$ and appl…