Abstract
One classifies the representation D λμ of sl(m + 1, R) obtained by letting its projective embedding in the Lie algebra of vector fields of R m, m > 1, act by Lie derivatives on the space of differential operators between densities of weight λ and μ. For each μ - λ, there is only finitely many isomorphism classes, most frequently one, in which case D λμ is isomorphic to its graded space relative to the order of differentiation.
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