Starting from the tri-Hamiltonian formulation of the Lagrange top in a
six-dimensional phase space, we discuss the reduction of the vector field and
of the Poisson tensors. We show explicitly that, after the reduction on each
one of the symplectic leaves, the vector field of the Lagrange top is separable
in the sense of Hamilton-Jacobi.Comment: report to XVI NEEDS (Cadiz 2002): 15 pages, no figures, LaTeX. To
appear in Theor. Math. Phy