We study the Hopf algebra structure and the highest weight representation of a multiparameter version of Uqgl(2). The Hopf algebra maps of this algebra are explicitly given. We show that the multiparameter universal R matrix can be constructed directly as a quantum double intertwiner without using Reshetikhin's twisting transformation. We find there are two types highest weight representations for this algebra: type a corresponds to the qeneric q and type b corresponds to the case that q is a root of unity. When applying the representation theory to the multi-parameter universal R matrix, both standard and nonstandard colored solutions of the Yang-Baxter equation are obtained.
|Number of pages||15|
|Journal||Journal of Mathematical Physics|
|State||Published - Sep 2000|