  The left-right supersymmetric model contains a right-handed gaugino, as well
as several higgsinos, in addition to the minimal supersymmetric model. Thus
several CP-noninvariant phases appear in this sector. We analyze their impact
on chargino masses and find that only two combinations are physically relevant.
We then study the production of charginos in e+e- annihilation and chargino
decays into a sneutrino and a lepton, and investigate the effects of CP-phases.
We also study the CP-odd asymmetry in the production and subsequent decay at
the linear collider with longitudinally polarized beams and find a large
enhancement when the decay channel to the right sneutrino is available. The
effects of the phases in the left-right supersymmetric chargino sector are
different from the minimal supersymmetric standard model, and signals from this
sector would be able to distinguish between different gauge symmetries.
