Multi-parameter Quantum Groups and Quantum Shuffles, (I)
Quantum Algebra
2012-04-05 v3 Representation Theory
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.
Cite
@article{arxiv.0811.0129,
title = {Multi-parameter Quantum Groups and Quantum Shuffles, (I)},
author = {Naihong Hu and Yufeng Pei and Marc Rosso},
journal= {arXiv preprint arXiv:0811.0129},
year = {2012}
}
Comments
31 pages. Contemp. Math. (to appear)