  We investigate the algebraic structure of the most general neutrino mass
Hamiltonian and place the see-saw mechanism in an algebraic framework. We show
that this Hamiltonian can be written in terms of the generators of an Sp(4)
algebra. The Pauli-Gursey transformation is an SU(2) rotation which is embedded
in this Sp(4) group. This SU(2) also generates the see-saw mechanism.
