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Note on quantum groups and integrable systems

  • Methods of Theoretical Physics
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Abstract

The free-field formalism for quantum groups [preprint ITEP-M3/94, CRM-2202 hep-th/9409093] provides a special choice of coordinates on a quantum group. In these coordinates the construction of associated integrable system [arXiv:1207.1869] is especially simple. This choice also fits into general framework of cluster varieties [math.AG/0311245]—natural changes in coordinates are cluster mutations.

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Authors and Affiliations

  1. Alikhanov Institute for Theoretical and Experimental Physics, Moscow, 117218, Russia

    A. Popolitov

  2. Korteweg–de Vries Institute for Mathematics, University of Amsterdam, 1012, WX, Amsterdam, Netherlands

    A. Popolitov

  3. Institute for Information Transmission Problems, Moscow, 127994, Russia

    A. Popolitov

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  1. A. Popolitov
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Correspondence to A. Popolitov.

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Popolitov, A. Note on quantum groups and integrable systems. Jetp Lett. 103, 137–139 (2016). https://doi.org/10.1134/S0021364016020107

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  • DOI: https://doi.org/10.1134/S0021364016020107

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