On q‐deformed supersymmetric classical mechanical models

Based on the idea of quantum groups and para‐Grassmannian variables, we present a generalization of supersymmetric classical mechanics with a deformation parameter q=exp(2πi/k) dealing with the k=3 case. The coordinates of the q‐superspace are a commuting parameter t and a para‐Grassmannian variable θ, where θ3=0. The generator and covariant derivative are obtained, as well as the action for some possible superfields.