Finite-dimensional modules of quantum affine algebras. (Q1427363)

The author constructs finite-dimensional representations of the quantum affine algebra associated to the affine Lie algebra \(sl_2\) and defines an explicit action of the Drinfeld generators on the vector space tensor product of fundamental representations. The author also obtains an explicit description of all finite-dimensional irreducible representations corresponding to Drinfeld polynomials with distinct zeros and describes the associated trigonometric solutions of the quantum Yang-Baxter equation.