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math.RT2019
Acyclic quantum cluster algebras via Hall algebras of morphisms
Ming Ding, Fan Xu, Haicheng Zhang
Let be the path algebra of a finite acyclic quiver over a finite field. We realize the quantum cluster algebra with principal coefficients associated to as a sub-quotie…
math.RT2019
Drinfeld doubles via derived Hall algebras and Bridgeland Hall algebras
Fan Xu, Haicheng Zhang
Let $\A$ be a finitary hereditary abelian category. We give a Hall algebra presentation of Kashaev's theorem on the relation between Drinfeld double and Heisenberg double. As appli…