  The dually conjugate Hopf algebras $Fun_{p,q}(R)$ and $U_{p,q}(R)$ associated
with the two-parametric $(p,q)$-Alexander-Conway solution $(R)$ of the
Yang-Baxter equation are studied. Using the Hopf duality construction, the full
Hopf structure of the quasitriangular enveloping algebra $U_{p,q}(R)$ is
extracted. The universal ${\cal T}$-matrix for $Fun_{p,q}(R)$ is derived. While
expressing an arbitrary group element of the quantum group characterized by the
noncommuting parameters in a representation independent way, the ${\cal
T}$-matrix generalizes the familiar exponential relation between a Lie group
and its Lie algebra. The universal ${\cal R}$-matrix and the FRT matrix
generators, $L^{(\pm )}$, for $U_{p,q}(R)$ are derived from the ${\cal
T}$-matrix.
