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math.RT2025
From i-boxes to signed words
Alessandro Contu, Fan Qin, Qiaoling Wei
The combinatorics of i-boxes has recently been introduced by Kashiwara--Kim--Oh--Park in the study of cluster algebras arising from the representation theory of quantum affine alge…
math.RT2025
Solution of a Problem in Monoidal Categorification by Additive Categorification
Alessandro Contu
In 2021, Kashiwara-Kim-Oh-Park constructed cluster algebra structures on the Grothendieck rings of certain monoidal subcategories of the category of finite-dimensional representati…
math.RT2024
A quantum cluster algebra structure on the semi-derived Hall algebra
Alessandro Contu
Using Hernandez-Leclerc's isomorphism between the derived Hall algebra of a representation-finite quiver and the quantum Grothendieck ring of the quantum loop algebra of the Dy…