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arXiv · 1501.00146

M-systems and Cluster algebras

Qian-Qian Zhang·Bing Duan·Jian-Rong Li·Yan-Feng Luo
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Abstract

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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Qian-Qian Zhang, Bing Duan, Jian-Rong Li, Yan-Feng Luo. 2015-07-12. M-systems and Cluster algebras. https://doi.org/10.1093/imrn%2Frnv287

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