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math.CO2024
Scattering diagrams, tight gradings, and generalized positivity
Amanda Burcroff, Kyungyong Lee, Lang Mou
In 2013, Lee, Li, and Zelevinsky introduced combinatorial objects called compatible pairs to construct the greedy bases for rank-2 cluster algebras, consisting of indecomposable po…
math.RT2024
Generic bases of skew-symmetrizable affine type cluster algebras
Lang Mou, Xiuping Su
Geiss, Leclerc and Schröer introduced a class of 1-Iwanaga-Gorenstein algebras associated to symmetrizable Cartan matrices with acyclic orientations, generalizing the path alge…