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math.QA2019
A quantum cluster algebra approach to representations of simply-laced quantum affine algebras
Léa Bittmann
We establish a quantum cluster algebra structure on the quantum Grothendieck ring of a certain monoidal subcategory of the category of finite-dimensional representations of a simpl…
math.QA2019
Quantum Grothendieck rings as quantum cluster algebras
Léa Bittmann
We define and construct a quantum Grothendieck ring for a certain monoidal subcategory of the category of representations of the quantum loop algebra introduced by He…