Abstract
A cyclic representation of the q-deformed Heisenberg-Weyl superalgebras is constructed. By making use of this cyclic representation we study the cyclic representations of quantum superalgebras in terms of their q-boson-fermion realizations with Uqsl(m,n) as an example. Two different q-boson-fermion realizations of Uqsl(m,n) are used and thus two inequivalent cyclic representations of Uqsl(m,n) are obtained.
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