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Lie algebras and Lax equations with spectral parameter on an elliptic curve

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Abstract

Lax equations with elliptic spectral parameter are considered in the framework of the general scheme using affine Lie algebras and the r-matrix formalism. A number of examples of elliptic Lax representations for systems of interacting tops are given.

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Authors
  1. A. G. Reiman
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  2. M. A. Semenov-Tyan-Shanskii
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 150, pp. 104–118, 1986.

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Reiman, A.G., Semenov-Tyan-Shanskii, M.A. Lie algebras and Lax equations with spectral parameter on an elliptic curve. J Math Sci 46, 1631–1640 (1989). https://doi.org/10.1007/BF01099195

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  • DOI: https://doi.org/10.1007/BF01099195

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