SOLUTIONS OF THE YANG-BAXTER EQUATION WITH EXTRA NONADDITIVE PARAMETERS .2. U-Q(GL(M-VERTICAL-BAR-N))

The type-I quantum superalgebras are known to admit non-trivial one-pa rameter families of inequivalent finite dimensional irreps, even for g eneric q. We apply the recently developed technique to construct new s olutions to the quantum Yang-Baxter equation associated with the one-p arameter family of irreps of U-q (gl(m/n)), thus obtaining R-matrices that depend not only on a spectral parameter but in addition on furthe r continuous parameters. These extra parameters enter the Yang-Baxter equation in a similar way to the spectral parameter but in a non-addit ive form.