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.