q-Difference Realization of Uq(sl(M|N)) and Its Application to Free Boson Realization of Uq(sl(2|1))
Abstract
We present a q-difference realization of the quantum superalgebra Uq(sl(M|N)), which includes Grassmann even and odd coordinates and their derivatives. Based on this result we obtain a free boson realization of the quantum affine superalgebra Uq(sl(2|1)) of an arbitrary level k.
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