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The surprising polarisation of Lambdas and other hyperons measured in manyunpolarised hadronic processes, p N --> Lambda X, has been a long standingchallenge for QCD phenomenology. One possible explanation was suggested,related to non perturbative properties of the quark hadronisation process, andencoded in the so-called Polarising Fragmentation Function (PFF). Recent Belledata have shown a non zero Lambda polarisation also in unpolarised e+ e-processes, e+ e- --> Lambda X and e+ e- --> Lambda h X. We consider the singleinclusive case and the role of the PFFs. Adopting a simplified kinematics it isshown how they can originate a polarisation P_Lambda different from 0 and giveexplicit expressions for it in terms of the PFFs. Although the Belle data donot allow yet, in our approach, an extraction of the PFFs, some clearpredictions are given, suggesting crucial measurements, and estimates ofP_Lambda are computed, in qualitative agreement with the Belle data.

The Polarising Fragmentation Function and the Lambda polarisation in e+ e- processes