Generalized Hernandez-Leclerc modules and cluster algebras

Jingmin Guo, Bing Duan, Yanfeng Luo

We introduce generalized Hernandez-Leclerc modules over $U_q(\widehat{{\mathfrak{sl}}_{n+1}})$ as a generalization of Hernandez-Leclerc modules of type A, and prove that they are rea…