N-Galilean conformal algebras and quantum theory with higher order time   derivatives
  It is shown that centrally extended N-Galilean conformal algebra, with N-odd, is the maximal symmetry algebra of the Schrodinger equation corresponding to the free Lagrangian involving (N+1)/2-th order time derivatives. 
K. Andrzejewski, J. Gonera, P. Kosinski
hep-th math-ph math.MP