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### Published volumes

##### 1936-1944
Second cohomology space of $\mathfrak{sl}(2)$ acting on the space of bilinear bidifferential operators
Volume 61, no. 1 (2020), pp. 131–143

### Abstract

We consider the $\mathfrak{sl}(2)$-module structure on the spaces of bilinear bidifferential operators acting on the spaces of weighted densities. We compute the second cohomology group of the Lie algebra $\mathfrak{sl}(2)$ with coefficients in the space of bilinear bidifferential operators that act on tensor densities $\mathcal{D}_{\lambda,\nu,\mu}$.