| Cluster algebra structure on the finite dimensional representations of affine quantum group U_q(_3) |
| |
| 引用本文： | 杨彦敏,马海涛,林冰生,郑驻军.Cluster algebra structure on the finite dimensional representations of affine quantum group U_q(_3)[J].中国物理 B,2015,24(1):10201-010201. |
| |
| 作者姓名： | 杨彦敏 马海涛 林冰生 郑驻军 |
| |
| 作者单位： | Department of Mathematics, South China University of Technology |
| |
| 基金项目： | Project supported by the National Natural Science Foundation of China(Grant No.11475178) |
| |
| 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.
|
| 关 键 词： | affine quantum group cluster algebra monoidal categorification |
| 收稿时间： | 2014-05-20 |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
| 点击此处可从《中国物理 B》下载免费的PDF全文 |
