2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184600Generalized $Z_k$-graded Grassmann variables are used to label coherent states related to the nilpotent representation of the q-oscillator of Biedenharn and Macfarlane when the deformation parameter is a root of unity. These states are then used to construct generalized Grassmann representatives of state vectors.8 pagesMathematical Physics81R30text