Abstract
Recently there have been several papers on the action of the Virasoro Lie algebra on the projective decompositions of the modules of pseudodifferential operators on the circle. We use their results to prove that a wide class of the uniserial (completely indecomposable) bounded modules of the Virasoro Lie algebra may be realized as subquotients of such modules of pseudodifferential operators. This gives easy proofs of the existence of many previously known uniserial modules, and moreover yields some hitherto undiscovered.
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