M-systems and Cluster algebras
M-systems and Cluster algebras
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M 系统和簇代数
DOI:
10.1093/imrn/rnv287
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发表时间:
2014-12
影响因子:
1
通讯作者:
Luo Yan-Feng
中科院分区:
文献类型:
--
作者:
Zhang Qian-Qian;Duan Bing;Li Jian-Rong;Luo Yan-Feng
The aim of this paper is two-fold: (1) introduce four systems of equations called M-systems and dual M-systems of types $A_{n}$ and $B_{n}$ respectively; (2) make a connection between M-systems (dual M-systems) and cluster algebras and prove that the Hernandez-Leclerc conjecture is true for minimal affinizations of types $A_n$ and $B_n$.
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