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Quantum 401-1401-1401-1algebras and Macdonald polynomials

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Abstract

We derive a quantum deformation of theW N algebra and its quantum Miura transformation, whose singular vectors realize the Macdonald polynomials.

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Authors and Affiliations

  1. Yukawa Institute for Theoretical Physics, Kyoto University, 606, Kyoto, Japan

    H. Awata (JSPS fellow)

  2. Department of Physics, Faculty of Science, University of Tokyo, 113, Tokyo, Japan

    H. Kubo (JSPS fellow)

  3. Department of Physics, Faculty of Science, Shinshu University, 390, Matsumoto, Japan

    S. Odake

  4. Institute for Solid State Physics, University of Tokyo, 106, Tokyo, Japan

    J. Shiraishi

Authors
  1. H. Awata
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  2. H. Kubo
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  3. S. Odake
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  4. J. Shiraishi
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Communicated by M. Jimbo

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Awata, H., Kubo, H., Odake, S. et al. Quantum 401-1401-1401-1algebras and Macdonald polynomials. Commun.Math. Phys. 179, 401–415 (1996). https://doi.org/10.1007/BF02102595

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  • DOI: https://doi.org/10.1007/BF02102595

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