10 citations · 28 across the 10 of their papers we have counts for
10 papers
A combinatorial model for -characters of fundamental modules of type
Jun Tong, Bing Duan, Yanfeng Luo
In this paper, we introduce a combinatorial path model of representation of the quantum affine algebra of type , inspired by Mukhin and Young's combinatorial path models of re…
Real simple modules over simply-laced quantum affine algebras and categorifications of cluster algebras
Bing Duan, Ralf Schiffler
Let be the category of finite-dimensional modules over a simply-laced quantum affine algebra . For any height function and $\ell\in \…
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…
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…
A geometric -character formula for snake modules
Bing Duan, Ralf Schiffler
Let be the category of finite dimensional modules over the quantum affine algebra of a simple complex Lie algebra . Let…