  Neutralinos $\tilde{\chi}^0$ in supersymmetric theories, the spin--1/2
Majorana--type superpartners of the U(1) and SU(2) neutral electroweak gauge
bosons and SU(2) neutral Higgs bosons, are expected to be among light
supersymmetric particles so that they can be produced copiouslyvia direct pair
production and/or from cascade decays of other sparticles such as sleptons at
the planned Large Hadron Collider and the prospective International Linear
Collider. Considering the prospects of having both highly polarized neutralinos
and possibility of reconstructing their decay rest frames, we provide a
systematic investigation of the three--body leptonic decays of the neutralinos
in the minimal supersymmetric standard model and demonstrate alternative ways
for probing the Majorana nature of the neutralinos and CP violation in the
neutralino system.
