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The dual -Alexander-Conway Hopf algebras and the associated universal -matrix
The dually conjugate Hopf algebras and associated
with the two-parametric -Alexander-Conway solution of the
Yang-Baxter equation are studied. Using the Hopf duality construction, the full
Hopf structure of the quasitriangular enveloping algebra is
extracted. The universal -matrix for is derived. While
expressing an arbitrary group element of the quantum group characterized by the
noncommuting parameters in a representation independent way, the -matrix generalizes the familiar exponential relation between a Lie group
and its Lie algebra. The universal -matrix and the FRT matrix
generators, , for are derived from the -matrix.Comment: LaTeX, 15 pages, to appear in Z. Phys. C: Particles and Field
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