Multi-parameter Quantum Groups and Quantum Shuffles, (I)
arXiv:0811.0129
Abstract
In this article, we study the multi-parameter quantum groups defined by generators and relations associated with symmetrizable generalized Cartan matrices, together with their representations in the category . This presentation will be convenient for our later discussions. We present two explicit descriptions here: as a Hopf 2-cocycle deformation, and as the multi-parameter quantum shuffle realization of the positive part.
31 pages. Contemp. Math. (to appear)