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math.QA2020
Hernandez-Leclerc modules and snake graphs
Bing Duan, Jian-Rong Li, Yan-Feng Luo
In 2010, Hernandez and Leclerc studied connections between representations of quantum affine algebras and cluster algebras. In 2019, Brito and Chari defined a family of modules ove…
math.QA2019
A geometric -character formula for snake modules
Bing Duan, Ralf Schiffler
Let be the category of finite dimensional modules over the quantum affine algebra of a simple complex Lie algebra . Let…
math.QA2015★ 1 cited
On the minimal affinizations of type
Bing Duan, Jian-Rong Li, Yan-Feng Luo
In this paper, we apply the theory of cluster algebras to study minimal affinizations for the quantum affine algebra of type . We show that the -characters of a large famil…