Acyclic quantum cluster algebras via Hall algebras of morphisms
Representation Theory
2019-11-25 v2 Quantum Algebra
Rings and Algebras
Abstract
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-quotient of a certain Hall algebra involving the category of morphisms between projective -modules.
Keywords
Cite
@article{arxiv.1903.00864,
title = {Acyclic quantum cluster algebras via Hall algebras of morphisms},
author = {Ming Ding and Fan Xu and Haicheng Zhang},
journal= {arXiv preprint arXiv:1903.00864},
year = {2019}
}
Comments
28 pages; To appear in Mathematische Zeitschrift