We first investigate the high-temperature behavior of a two-parameter deformed quantum group fermionic gas with GLp,q(2) symmetry, where (p,q)∈C×C. We then discuss both the structural and thermodynamical differences between GLp,q(2)- and SUr(2)-fermions with r=p/q where (p,q)∈R×R.

A two-parameter generalized quantum group fermion gas with SUp/q(2)-symmetry is discussed, and for low temperatures, its thermostatistical properties obtained by means of a SUp/q(2)-covariant fermionic Hamiltonian are investigated in terms of the real independent deformation parameters p and q....