12 citations · 59 across the 23 of their papers we have counts for
11 papers · 1 filter
Quasi-homomorphisms of quantum cluster algebras
Wen Chang, Min Huang, Jian-Rong Li
In this paper, we study quasi-homomorphisms of quantum cluster algebras, which are quantum analogy of quasi-homomorphisms of cluster algebras introduced by Fraser. For a quantum Gr…
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…
On cacti and crystals
Arkady Berenstein, Jacob Greenstein, Jian-Rong Li
In the present work we study actions of various groups generated by involutions on the category of integrable highest weight -mo…
Cluster algebras and snake modules
Bing Duan, Jian-Rong Li, Yan-Feng Luo
Snake modules introduced by Mukhin and Young form a family of modules of quantum affine algebras. The aim of this paper is to prove that the Hernandez-Leclerc conjecture about mono…
On the minimal affinizations over the quantum affine algebras of type
Xin-Yang Feng, Jian-Rong Li, Yan-Feng Luo
In this paper, we study the minimal affinizations over the quantum affine algebras of type by using the theory of cluster algebras. We show that the -characters of a large…
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…
Graded limits of minimal affinizations over the quantum loop algebra of type
Jian-Rong Li, Katsuyuki Naoi
The aim of this paper is to study the graded limits of minimal affinizations over the quantum loop algebra of type . We show that the graded limits are isomorphic to multiple…
M-systems and Cluster algebras
Qian-Qian Zhang, Bing Duan, Jian-Rong Li +1
The aim of this paper is two-fold: (1) introduce four systems of equations called M-systems and dual M-systems of types and respectively; (2) make a connection betw…
Three-term recurrence relations of minimal affinizations of type
Li Qiao, Jian-Rong Li
Minimal affinizations form a class of modules of quantum affine algebras introduced by Chari. We introduce a system of equations satisfied by the -characters of minimal affiniza…
On the extended T-system of type
Jian-Rong Li
We continue the study of extended T-systems of quantum affine algebras. We find a sub-system of the extended T-system of the quantum affine algebra of type…
XXZ-type Bethe ansatz equations and quasi-polynomials
J. R. Li, V. Tarasov
We study solutions of the Bethe ansatz equation for the XXZ-type integrable model associated with the Lie algebra sl_N. We give a correspondence between solutions of the Bethe ansa…