More On Generalized Symmetries of Partial Differential Equations and   Quasiexact Solvability
  For the class of systems of PDEs, for which infinitesimal translations (with respect to some (in)dependent variables) possess specific finite-dimensional invariant subspaces of the space of generalized symmetries of the system considered. We establish when there exist generalized symmetries from these subspaces, which depend from the above-mentioned variables. 
Arthur G. Sergheyev (Institute of Mathematics of NAS of Ukraine, Kiev)