| Cluster algebra structure on the finite dimensional representations of affine quantum group U_q(_3) |
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| 作者姓名： | 杨彦敏 马海涛 林冰生 郑驻军 |
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| 作者单位： | Department of Mathematics, South China University of Technology |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant No.11475178) |
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| 摘 要： | In this paper,we prove one case of conjecture given by Hernandez and Leclerc.We give a cluster algebra structure on the Grothendieck ring of a full subcategory of the finite dimensional representations of affine quantum group Uq(3).As a conclusion,for every exchange relation of cluster algebra,there exists an exact sequence of the full subcategory corresponding to it.
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| 关 键 词： | affine quantum group cluster algebra monoidal categorification |
| 收稿时间： | 2014-05-20 |
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