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Polarization effects in production and decay of Z0.

In the standard model, the polarization of Z/sup 0/, singly produced by arbitrarily polarized incident electron and positron beams, is obtained in a manifestly covariant way. It is shown that the vector polarization of Z/sup 0/ depends on the longitudinal polarization of the incident beams while the tensor polarization of Z/sup 0/ depends on both the transverse polarization and longitudinal polarization of the incident beams. We also obtain the polarization effects on the forward-backward asymmetry, the longitudinal asymmetry, and the final polarization of an outgoing fermion in the decay process Z/sup 0/..-->..ff-bar.