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We study the fused currents of the deformed Virasoro algebra (DVA). Byconstructing a homotopy operator we show that for special values of theparameter of the algebra fused currents pairwise coincide on the cohomologiesof the Felder resolution. Within the algebraic approach to lattice models thesecurrents are known to describe neutral excitations of the solid-on-solid (SOS)models in the transfer-matrix picture. It allows us to prove the closeness ofthe system of excitations for a special nonunitary series of restricted SOS(RSOS) models. Though the results of the algebraic approach to lattice modelswere consistent with the results of other methods, the lack of such proof hadbeen an essential gap in its construction.

Lattice models, deformed Virasoro algebra and reduction equation