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Transverse and longitudinal polarization of $\Lambda$ hyperons has been studied. The transfer of polarization from high-energy positron to $\Lambda$ hyperon has been measured. The longitudinal spin transverse coefficient is found to be $D_{LL′}^{\Lambda} = 0.11\pm 0.10(stat) \pm 0.03(sys)$. The transverse polarization of $\Lambda$ and $\bar{\Lambda}$ hyperons has been measured in inclusive quasireal photoproduction process for various target nuclei. The polarization observed is positive for light target nuclei and compatible with zero for heavy target nuclei

Transverse and Longitudinal Lambda Polarization in Lepton Scattering by Unpolarized Nucleons at HERMES