  This article discusses tests of CPT and Lorentz invariance with data from the
muon g-2 experiment at Brookhaven National Laboratory. According to an
extension of the Standard Model by Kostelecky et al., CPT/Lorentz violating
terms in the Lagrangian induce a shift of the anomaly frequency omega_a of
muons in a magnetic field. This shift is predicted to be different for positive
and negative muons and to oscillate with the Earth's sidereal frequency. We
discuss the sensitivity of the g-2 experiment to different parameters of this
Standard Model extension and propose an analysis method to search for sidereal
variations of omega_a.
