-trivial deformation of -modules structure on the spaces of symbols of differential operators acting on the space of weighted densities .

Let be the orthosymplectic Lie superalgebra and a Lie subalgebra of . In our paper, we describe the cup-product , where is the first differential -relative cohomology of with coefficients in and is the space of linear differential operators acting on weighted densities. This result allows us to classify the -trivial deformations of the -module structure on the spaces of symbols .