  The symmetries of the L\'evy-Leblond equation are investigated beyond the
standard Lie framework. It is shown that the equation has two remarkable
symmetries. One is given by the super Schr\"odinger algebra and the other one
by a $\ZZ$ graded Lie algebra. The $\ZZ$ graded Lie algebra is achieved by
transforming bosonic into fermionic operators in the super Schr\"odinger
algebra and introducing second order differential operators as generators of
symmetry.
