  We show that the classical mechanics of an algebraic model are implied by its
quantizations. An algebraic model is defined, and the corresponding classical
and quantum realizations are given in terms of a spectrum generating algebra.
Classical equations of motion are then obtained by constraining the quantal
dynamics of an algebraic model to an appropriate coherent state manifold. For
the cases where the coherent state manifold is not symplectic, it is shown that
there exist natural projections onto classical phase spaces. These results are
illustrated with the extended example of an asymmetric top.
