The dual ( p , q ) - Alexander - Conway Hopf algebras and the as - sociated universal T - matrix

The dually conjugate Hopf algebras Funp,q(R) and Up,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 Up,q(R) is extracted. The universal T matrix for Funp,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 T -matrix generalizes the familiar exponential relation between a Lie group and its Lie algebra. The universal R-matrix and the FRT matrix generators, L, for Up,q(R) are derived from the T -matrix.