The $q$-boson-fermion realizations of quantum suprealgebra $U_q(gl(2\mathrm{/}1))$

We show that our construction of realizations for Lie algebras and quantum algebras can be generalized to quantum superalgebras, too. We study an example of quantum superalgebra $U_q(gl(2\mathrm{/}1))$ and give the boson-fermion realization with respect to one pair od q-deformed boson operator and 2 pairs of fermions.