τ-complexity of cluster tilted algebras

Marju Purin (PhD '11)

Abstract: We study the τ-complexity of modules over cluster tilted algebras where τ is the Auslander–Reiten translate. We prove that modules over the cluster tilted algebra of type H all have complexities either 0, 1, 2 or infinity, depending on the representation type of the hereditary algebra H.

Journal: Journal of Pure and Applied Algebra, 216:4 (2012), 897-904

URL: http://dx.doi.org/10.1016/j.jpaa.2011.10.010