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arxiv: hep-th/9206013 · v1 · submitted 1992-06-03 · ✦ hep-th

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

classification ✦ hep-th
keywords alexander-conwayalgebragroupmatrixquantumassociatedconnecteddescribe
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We describe the quasitriangular structure (universal $R$-matrix) on the non-standard quantum group $U_q(H_1,H_2,X^\pm)$ 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 $U_qgl(1|1)$ by a general process of superization.

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