Fermion algebra with ZpZp-graded parity: Representation and thermodynamics

In this paper we discuss the fermion algebra with ZpZp-graded parity. We show that the fermion algebra with Z2Z2-graded parity is equivalent to the paraboson algebra. For the fermion algebra with the ZpZp-parity, Fock representation is also discussed. Finally, we discuss the thermodynamics of a particle obeying the fermion algebra with ZpZp-parity.