Bracket Symmetries of the Classical N=1 String

We show that it is possible to extend Moore's analysis of the classical scattering amplitudes of the bosonic string to those of the N=1 superstring. Using the bracket relations we are able to show that all possible amplitudes involving both bosonic and fermionic string states at arbitrary mass levels can be expressed in terms of amplitudes involving only massless states. A slight generalization of Moore's original definition of the bracket also allows us to determine the 4-point massless amplitudes themselves using only the bracket relations and the usual assumptions of analyticity. We suggest that this should be possible for the higher point massless amplitudes as well.