Acyclic quantum cluster algebras via Hall algebras of morphisms

22 Nov 2019 Ding Ming Xu Fan Zhang Haicheng

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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Categories


  • REPRESENTATION THEORY
  • QUANTUM ALGEBRA
  • RINGS AND ALGEBRAS