Abstract
We obtain the universal R-matrix of the nonstandard quantum group associated to the Alexander–Conway knot polynomial. We show further that this nonstandard quantum group is related to the super-quantum group Uq gl(1‖1) by a general process of superization, which we describe. We also study a twisted variant of this nonstandard quantum group and obtain, as a result, a twisted version of Uq gl(1‖1) as a q supersymmetry of the exterior differential calculus of any quantum plane of Hecke type, acting by mixing the bosonic xi coordinates and the forms dxi.
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