3 papers
math.RT2026
Monoidal categorification of generalized cluster algebras and conjectures of Fraser and Gleitz
Xiao-Juan An, Jian-Rong Li, Yan-Feng Luo
Hernandez and Leclerc introduced the notion of monoidal categorification of cluster algebras. We define similarly the notion of monoidal categorifications of generalized cluster al…
math.QA2026
Representations of shifted twisted quantum affine algebras
Fei-Fei Li, Jian-Rong Li, Yan-Feng Luo
In this paper, we introduce and study shifted twisted quantum affine algebras which provide a twisted counterpart of the theory of shifted quantum affine algebras. The shifted twis…
math.AC2025
Maximal green sequences for quivers
Jingmin Guo, Bing Duan, Yanfeng Luo
We introduce quivers and construct maximal green sequences for these quivers. We prove that any finite connected full subquiver of the quivers defined by Hernandez…