The Integral Cluster Category
arXiv:1012.4743 · doi:10.1093/imrn/rnr129
Abstract
Integral cluster categories of acyclic quivers have recently been used in the representation-theoretic approach to quantum cluster algebras. We show that over a principal ideal domain, such categories behave much better than one would expect: They can be described as orbit categories, their indecomposable rigid objects do not depend on the ground ring and the mutation operation is transitive.
17 pages, new section added, references added