  We study the production of charginos e^+ e^- -> chi^+_i chi^-_j, (i,j=1,2)
with polarized beams and the subsequent decays chi^+_i -> chi^0_k ell^+ nu and
chi^-_j -> chi^0_l ell^- nu, (k,l=1,...,4), including the complete spin
correlations between production and decay. Analytical formulae are presented
for the joint spin-density matrix of the charginos, for the chargino decay
matrix and for the differential cross section of the combined processes of
production and decays. We present numerical results for pair production of the
lighter chargino with unpolarized beams and the leptonic decay of chi^+_1 into
the lightest neutralino chi^0_1. The lepton angular distribution and the
forward-backward asymmetry are studied in four representative scenarios for
sqrt{s}=192 GeV and sqrt{s}=200 GeV.
