In supersymmetric extensions of the Standard Model (SM), the Lepton Flavour Violation (LFV) is closely related to the structure of slepton masses and mixing. Allowing for the most general flavour structure of the slepton sector, consistent with the experimental limits on rare lepton decays, large and distinct signals of LFV at future colliders can be expected. A case study of mixing of second and third generation of sleptons at an e⁺e^- collider is presented and compared to that of \tau \to \mu \gamma rare decay.

PACS numbers: 12.60.Jv, 14.80.Ly