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Algebra of screening operators for the deformed Wn algebra

B. Feigin, M. Jimbo, T. Miwa, A. Odesskii, Y. Pugai

q-algarXiv:q-alg/9702029

Abstract

We construct a family of intertwining operators (screening operators) between various Fock space modules over the deformed Wn algebra. They are given as integrals involving a product of screening currents and elliptic theta functions. We derive a set of quadratic relations among the screening operators, and use them to construct a Felder-type complex in the case of the deformed W3 algebra.

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