2020/09/20 by Bing Duan, Duan, Bing, Jian-Rong Li +3
Mathematics · #05C70 #13F60 #17B37 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.2009.09461
openalex publication_date 2020/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 over quantum affine algebras, called Hernandez-Leclerc modules. We characterize the highest ℓ-weight monomials of Hernandez-Leclerc modules. We give a non-recursive formula for q-characters of Hernandez-Leclerc modules using snake graphs, which involves an explicit formula for F-polynomials. We also give a new recursive formula for q-characters of Hernandez-Leclerc modules.