Quantum toroidal algebra U-q(sl(2,tor)) and R matrices

摘要

We show the existence of R matrices acting on the tensor product of a certain class of representations of the quantum toroidal algebra U-q(sl(2,tor)). In particular, the explicit expressions of R matrices acting on the tensor product of level 1 integrable highest weight representations of U-q((sl) over cap (2)) are obtained. Our approach is based on the work of Chari and Pressley. (C) 2001 American Institute of Physics. [References: 13]