Quantum and super-quantum group related to the Alexander-Conway polynomial

Abstract

We describe the quasitriangular structure (universal R-matrix) on the non-standard quantum group Uq(H1,H2,X) associated to the Alexander-Conway matrix solution of the Yang-Baxter equation. We show that this Hopf algebra is connected with the super-Hopf algebra Uqgl(1|1) by a general process of superization.

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