  The search of violation of Lorentz symmetry, or Lorentz violation (LV), is an
active research field. The effects of LV are expected to be very small and
special systems are often used to search it. High-energy astrophysical
neutrinos offer a unique system to search signatures of LV due to the three
factors: high neutrino energy, long propagation distance, and the presence of
quantum mechanical interference. In this brief review, we introduce tests of LV
and summarize existing searches of LV using atmospheric and astrophysical
neutrinos.
