Using twists of fields of charged free fermions, we revise the generalized vertex operator presentation of Hall–Littlewood polynomials, propose a new version of the deformed boson-fermion correspondence, and construct new examples of tau-functions of the KP hierarchy in the one-parameter deformation of the ring of symmetric functions Λ[t].
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Translated from Problemy Matematicheskogo Analiza102, 2020, pp. 153-163.
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Necoechea, G., Rozhkovskaya, N.A. Generalized Vertex Operators of Hall– Littlewood Polynomials as Twists of Charged Free Fermions. J Math Sci 247, 926–938 (2020). https://doi.org/10.1007/s10958-020-04847-5
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DOI: https://doi.org/10.1007/s10958-020-04847-5