  We investigate whether postulating the existence of Lorentz-violating,
CPT-conserving interactions allows three-neutrino solutions to the LSND anomaly
that are also consistent with all other neutrino data. We show that
Lorentz-violating interactions that couple only to one of the active neutrinos
have the right properties to explain all the data. The details of the data make
this solution unattractive. We find, for example, that a highly non-trivial
energy dependence of the Lorentz-violating interactions is required.
