  Lorentz Invariance violation is a common feature of new physics beyond the
standard model. We show that the symmetry of Randers spaces deduces a modified
dispersion relation with characteristics of Lorentz Invariance violation. The
counterparts of the Lorentz transformation in the Einstein's Special Relativity
are presented explicitly. The coordinate transformations are unitary and form a
group. Generators and algebra satisfied by them are different from usual
Lorentz ones. The Randersian line element as well as speed of light is
invariant under the transformations. In particular, there is another invariant
speed which may be related with Planck scale and the mass of moving particle.
Thus, the Randers spaces is a suitable framework to discuss the Lorentz
Invariance violation.
