M-systems and Cluster algebras
Quantum Algebra
2017-07-11 v9
Abstract
The aim of this paper is two-fold: (1) introduce four systems of equations called M-systems and dual M-systems of types and 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 and .
Keywords
Cite
@article{arxiv.1501.00146,
title = {M-systems and Cluster algebras},
author = {Qian-Qian Zhang and Bing Duan and Jian-Rong Li and Yan-Feng Luo},
journal= {arXiv preprint arXiv:1501.00146},
year = {2017}
}