English

Quantizations of the extended affine Lie algebra $\widetilde{\frak{sl}_2(\mathbb{C}_q)}$

Quantum Algebra 2011-11-22 v1

Abstract

The extended affine Lie algebra sl2(Cq)~\widetilde{\frak{sl}_2(\mathbb{C}_q)} is quantized from three different points of view in this paper, which produces three noncommutative and noncocommutative Hopf algebra structures, and yield other three quantizations by an isomorphism of sl2(Cq)~\widetilde{\frak{sl}_2(\mathbb{C}_q)} correspondingly. Moreover, two of these quantizations can be restricted to the extended affine Lie algebra sl2(Cq){sl_2(\mathbb{C}_q)}.

Keywords

Cite

@article{arxiv.1111.4791,
  title  = {Quantizations of the extended affine Lie algebra $\widetilde{\frak{sl}_2(\mathbb{C}_q)}$},
  author = {Ying Xu and Junbo Li},
  journal= {arXiv preprint arXiv:1111.4791},
  year   = {2011}
}

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25 pages