Braided structure of fractional $Z_3$-supersymmetry
  It is shown that fractional $Z_3$-superspace is isomorphic to the $q\to\exp(2\pi i/3)$ limit of the braided line. $Z_3$-supersymmetry is identified as translational invariance along this line. The fractional translation generator and its associated covariant derivative emerge as the $q\to\exp(2\pi i/3)$ limits of the left and right derivatives from the calculus on the braided line 
J.A. de Azc\'arraga, R. S. Dunne, A. J. Macfarlane and J. C. P\'erez   Bueno