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Acyclic quantum cluster algebras via Hall algebras of morphisms (1903.00864v2)
Published 3 Mar 2019 in math.RT, math.QA, and math.RA
Abstract: Let $A$ be the path algebra of a finite acyclic quiver $Q$ over a finite field. We realize the quantum cluster algebra with principal coefficients associated to $Q$ as a sub-quotient of a certain Hall algebra involving the category of morphisms between projective $A$-modules.
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