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

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