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Representations over Virasoro algebra with infinite multiplicities

We study tensor proucts of irreducible highest weight modules and irreducible modules from intermediate series over the Virasoro algebra. Irreducibility of these modules depends entierly on structure of highest weight modules, i.e.\ on number of singular vectors generating the maximal submoddule in Verma module. We present connection with the existence of non-trivial intertwining operators.

Virasoro algebra, singular vectors, tensor product modules

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