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A Coset-Type Construction for the Deformed Virasoro Algebra

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Abstract

An analog of the minimal unitary series representations for the deformed Virasoro algebra is constructed using vertex operators of the quantum affine algebra Uq(sl2). A similar construction is proposed for the elliptic algebra Aq,p(sl2).

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Authors and Affiliations

  1. Division of Mathematics, Graduate School of Science, Tokyo University, Kyoto, 606, Japan e-mail: jimbo@kusm.kyoto-u.ac.jp

    Michio Jimbo & Jun'Ichi Shiraishi

Authors
  1. Michio Jimbo
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  2. Jun'Ichi Shiraishi
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Jimbo, M., Shiraishi, J. A Coset-Type Construction for the Deformed Virasoro Algebra. Letters in Mathematical Physics 43, 173–185 (1998). https://doi.org/10.1023/A:1007455332127

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  • DOI: https://doi.org/10.1023/A:1007455332127

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