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arXiv · 0811.0129

Multi-parameter Quantum Groups and Quantum Shuffles, (I)

Naihong Hu·Yufeng Pei·Marc Rosso
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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 $\mathcal O$. 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.

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Naihong Hu, Yufeng Pei, Marc Rosso. 2008-11-02. Multi-parameter Quantum Groups and Quantum Shuffles, (I). https://arxiv.org/abs/0811.0129

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