spacetime symmetry of special relativity, Lorentz invariance is

a basic component of the standard model of particle physics

and general relativity, which to date constitute our most successful

descriptions of nature. Deviations from exact symmetry would

radically change our view of the universe and current experiments

allow us to test the validity of this assumption. In this talk, I will

describe how we can use current and future beta-decay experiments

to search for some key signals of the violation of Lorentz invariance.