  We present a systematic derivation of the constraints that the relativity
principle imposes between coefficients of a deformed (but rotational invariant)
momentum composition law, dispersion relation, and momentum transformation
laws, at first order in a power expansion of an ultraviolet energy scale. This
work generalizes previous results to the case of particle-dependent
relativistic kinematics, which can have interesting phenomenological
applications that we explore in the second part of the manuscript.
