  Following a previous description of Lambda and Lambda-bar polarization in
unpolarized p-p interactions, within a perturbative QCD factorization scheme
with new polarizing fragmentation functions, here we investigate the transverse
polarization of Lambda's and Lambda-bar's produced in semi-inclusive DIS.
Analytical expressions for both neutral and charged current exchange are given.
Since quantitative predictions cannot be given at this stage and comparison
with existing data are not yet significant, we present the general formalism
and a qualitative analysis displaying generic features of the Lambda and
Lambda-bar polarization for specific scenarios. Different kinematical
situations are considered, corresponding to experiments currently able to study
Lambda production in semi-inclusive DIS.
