First so(2)-Relative Cohomology of Vec(R) Acting on the Space of Bilinear Bidifferential Operators
Keywords:
Relative Cohomology, Lie subalgebra, weighted densities, bidifferential operators. Symbols.Abstract
We consider the vec(R)- module structure on the spaces of bilinear bidifferntial operators actin on the spaces of weighted densities. We compute the differentiakl relative 1-cohomology of the vector fields Lie algebra Vec(R) with coefficients in space D_a,b of biliniear bidifferential operators acting on weighted, vanishing on the Lie algebra so(2).
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