On the symmetry definitions for the constraint dynamical systems
  The problem of proper symmetry definition for constraint dynamical systems with Hamiltonians is considered. Finally, we choose a definition of symmetry which agrees with the analogous definition used for the non-constraint dynamical systems with Hamiltonians. Our symmetry definition allows one to consider the whole spectrum of the Hamiltonian without splitting it into a few different parts. 
Alexei M. Frolov
quant-ph