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The breakdown of Lorentz's and CPT invariance, as described by the Extensionof the Standard Model, gives rise to a modification of the dispersion relationof particles. Consequences of such a modification are reviewed in the frameworkof pulsar kicks induced by neutrino oscillations (active-sterile conversion). Apeculiar feature of the modified energy-momentum relations is the occurrence ofterms of the form $\delta {\bbox \Pi}\cdot {\bf {\hat p}}$, where $\delta{\bbox \Pi}$ accounts for the difference of spatial components of flavordepending coefficients which lead to the departure of the Lorentz symmetry, and${\bf {\hat p}}={\bf p}/p$, being ${\bf p}$ the neutrino momentum. Owing to therelative orientation of ${\bf p}$ with respect to $\delta {\bbox \Pi}$, the{\it coupling} $\delta {\bbox \Pi}\cdot {\bf {\hat p}}$ may induce themechanism to generate the observed pulsar velocities. Topics related to thevelocity distribution of pulsars are also discussed.Comment: 10 pages, 1 figur

Effects of CPT and Lorentz invariance violation on pulsar kicks