1 citations · 2 across the 3 of their papers we have counts for
7 papers
Construction of Rank Indecomposable Modules in Grassmannian Cluster Categories
Karin Baur, Dusko Bogdanic, Jian-Rong Li
The category of Cohen-Macaulay modules over a quotient of a preprojective algebra provides a categorification of the cluster algebra structure on the…
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…
Combinatorial model for m-cluster categories in type E
Bing Duan, Lisa Lamberti, Jian-Rong Li
We revisit the geometric description of cluster categories in type E in terms of colored diagonals in a polygon and generalize it to the case of m-cluster categories. As an applica…
The 4--CB Algebra and Solvable Lattice Models
Vladimir Belavin, Doron Gepner, Jian--Rong Li +1
We study the algebras underlying solvable lattice models of the type fusion interaction round the face (IRF). We propose that the algebras are universal, depending only on the numb…
Quantum affine algebras and Grassmannians
Wen Chang, Bing Duan, Chris Fraser +1
We study the relation between quantum affine algebras of type A and Grassmannian cluster algebras. Hernandez and Leclerc described an isomorphism from the Grothendieck ring of a ce…
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…