Document Type : Research Articles
Faculty of sciences of Gafsa
Departement of Mathematics Faculty of Sciences of Sfax, BP 802, Sfax 3038, Tunisia
Faculty Sciences of Sfax, BP 802, Sfax 3038, Tunisia
We consider the aff(1)-module structure on the spaces of bilinear diﬀerential operators acting on the spaces of weighted densities. We compute the ﬁrst diﬀerential cohomology of the Lie superalgebra aff(1) with coeﬃcients in space Dλ,ν;µ of bilinear diﬀerential operators acting on weighted densities. We study also the super analogue of this problem getting the same results.