  This paper is a continuation of the theory of cyclic elements in semisimple
Lie algebras, developed by Elashvili, Kac and Vinberg. Its main result is the
classification of semisimple cyclic elements in semisimple Lie algebras. The
importance of this classification stems from the fact that each such element
gives rise to an integrable hierarchy of Hamiltonian PDE of Drinfeld-Sokolov
type.
