Integrable systems and lie superalgebras

The point functor allows us to associate with each Lie superalgebra the class of ordinary Lie algebras, composed of its points over Grassman algebras. To these Lie algebras we extend the Alder-Kostant geometric scheme of constructing nonlinear Lax equations.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 123, pp. 92–97, 1983.