The paper fits in the fashionable context of quantum theory where
systems live in a Hilbert space with nontrivial inner product (in my
preferred notation of M.Z., SIGMA 5 (2009), 001 with doi:
10.3842/SIGMA.2009.001 this simply means that the Dirac's
bra-vectors $\langle \psi|$ must be replaced by certain modified,
$\Theta-$metric-dependent brabra-vectors $\langle\!\langle
\psi|:=\langle \psi|\,\Theta$). The authors make use of the Majid's
generalized Grassmann variables and recall paper by O. Cherbal et al
(J. Phys. A: Math. Theor. 40 (2007), 1835, on fermionic coherent
states for two-level systems. They ultimately generalize this
construction to an $n-$level system, offering an appropriate
explanation of several subtle technicalities of their project. In
particular, the resolution of the identity operator is clarified
and, for illustration, the Grassmannian coherent and squeezed states
pertaining to the deformed group $SU_q (2)$ are constructed at
$n=3$.

MR2669219 Najarbashi, G.; Fasihi, M. A.; Fakhri, H. Generalized
Grassmannian coherent states for pseudo-Hermitian $n$-level systems.
J. Phys. A 43 (2010), no. 32, 325301, 10 pp. 81R30 (81Q12)