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Quantum cluster algebra structure on the finite dimensional representations of $U_q(\widehat{sl_{2}})$

Quantum Algebra 2014-06-11 v1 Mathematical Physics math.MP Representation Theory

Abstract

In this paper, we give a quantum cluster algebra structure on the deformed Grothendieck ring of \CCn\CC_{n}, where \CCn\CC_{n} is a full subcategory of finite dimensional representations of Uq(sl2^)U_q(\widehat{sl_{2}}) defined in section II.

Keywords

Cite

@article{arxiv.1406.2452,
  title  = {Quantum cluster algebra structure on the finite dimensional representations of $U_q(\widehat{sl_{2}})$},
  author = {Hai-Tao Ma and Yan-Min Yang and Zhu-Jun Zheng},
  journal= {arXiv preprint arXiv:1406.2452},
  year   = {2014}
}

Comments

11pages, no figures