Acyclic quantum cluster algebras via Hall algebras of morphisms

2019/03/03 by Ding, Ming, Xu, Fan, Zhang, Haicheng · 1 citation
#FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1903.00864

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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• Fundamental relations in quantum cluster algebras

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