Generalized $Z_k$-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.
Construction of SU(3) irreps in canonical SO(3)-coupled bases
On the Construction of Generalized Grassmann Coherent States
On The Construction of Generalized Coherent States for Generalized Harmonic Oscillators
