  We present how to further the search for Lorentz and CPT violation in the
top-quark sector after the first measurement in this sector by D0. We compute
the Lorentz-violating matrix element for top pair production via gluon fusion,
which allows a similar but more precise measurement at the LHC. For CPT
violation, we analyze single-top production, derive the modified matrix
elements, and predict possible signals.
