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arXiv · 1903.00864

Acyclic quantum cluster algebras via Hall algebras of morphisms

Ming Ding·Fan Xu·Haicheng Zhang
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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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Ming Ding, Fan Xu, Haicheng Zhang. 2019-03-03. Acyclic quantum cluster algebras via Hall algebras of morphisms. https://arxiv.org/abs/1903.00864

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