The Integral Cluster Category
Representation Theory
2011-07-13 v3 Category Theory
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.
Cite
@article{arxiv.1012.4743,
title = {The Integral Cluster Category},
author = {Bernhard Keller and Sarah Scherotzke},
journal= {arXiv preprint arXiv:1012.4743},
year = {2011}
}
Comments
17 pages, new section added, references added