Pantelis A. DAMIANOU
Department of Mathematics and Statistics,
University of Cyprus,
P.O. Box 20537, CY 1678 Nicosia, CYPRUS

Multi-Hamiltonian structure for Bogoyavlensky-Toda lattices

We prove that the Bogoyavlensky-Toda lattices associated with simple Lie groups are bi-Hamiltonian. We also review some previous results on the multi-Hamiltonian structure of these systems. The areas investigated include master symmetries, recursion operators, invariants, higher Poisson brackets and Noether symmetries.