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math.CO2019★ 1 cited
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…
math.RT2019
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…
math.QA2019
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…