On the third cohomology of the Lie algebra of vector fields on weighted densities on R

Wajd Afsi, Salem Omri

Let Vect($\mathbb{R}$) be the Lie algebra of smooth vector fields on $\mathbb{R}$ and ${\mathbb{F}}_{\lambda }$ be the space of $\lambda$-densities on $\mathbb{R}$. Vect($\mathbb{R}$) acts on $\mat…