  We analyze the polarized Drell-Yan processes with spin-1/2 and spin-1 hadrons
in a parton model. Quark and antiquark correlation functions are expressed in
terms of possible combinations of Lorentz vectors and pseudovectors with the
constrains of Hermiticity, parity conservation, and time-reversal invariance.
Then, we find tensor polarized distributions for a spin-1 hadron. The naive
parton model predicts that there exist 19 structure functions. However, there
are only four or five non-vanishing structure functions, depending on whether
the cross section is integrated over the virtual-photon transverse momentum
\vec Q_T or the limit Q_T->0 is taken. One of the finite structure functions is
related to the tensor polarized distribution b_1, and it does not exist in the
proton-proton reactions. The vanishing structure functions should be associated
with higher-twist physics. The tensor distributions can be measured by the
quadrupole polarization measurements. The Drell-Yan process has an advantage
over the lepton reaction in the sense that the antiquark tensor polarization
could be extracted rather easily.
