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Classical limits of the SU(2)-invariant solutions of the Yang-Baxter equation

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Abstract

The possible classical limits of the SU(2)-invariant solution of the Yang-Baxter equation are systematically studied. In addition to the already known classical limits, namely the classical R-matrix, the lattice and the continuous L-operators, a series of new classical objects are introduced and the equations satisfied by them are enumerated.

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 146, pp. 119–136, 1985.

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Sklyanin, E.K. Classical limits of the SU(2)-invariant solutions of the Yang-Baxter equation. J Math Sci 40, 93–107 (1988). https://doi.org/10.1007/BF01084941

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  • DOI: https://doi.org/10.1007/BF01084941

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