Generalized Hernandez-Leclerc modules and cluster algebras
- Resource Type
- Working Paper
- Authors
- Guo, Jingmin; Duan, Bing; Luo, Yanfeng
- Source
- Subject
- Mathematics - Quantum Algebra
Mathematics - Representation Theory
- Language
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 real and prime via monoidal categorifications of cluster algebras.