In this paper, we prove that relation-extensions of quasi-tilted algebras are 2-Calabi–Yau tilted. With the objective of describing the module category of a cluster-tilted algebra of euclidean type, we define the notion of reflection so that any two local slices can be reached one from the other by a sequence of reflections and coreflections. We then give an algorithmic procedure for constructing the tubes of a cluster-tilted algebra of euclidean type. Our main result characterizes quasi-tilted algebras whose relation-extensions are cluster-tilted of euclidean type.
|Number of pages||23|
|Journal||Journal of Pure and Applied Algebra|
|State||Published - Sep 1 2017|
Bibliographical noteFunding Information:
The first author gratefully acknowledges partial support from the NSERC of Canada. The second author was supported by the NSF CAREER grant DMS-1254567 and by the University of Connecticut. The third author was supported by the NSF Postdoctoral fellowship MSPRF-1502881.
© 2016 Elsevier B.V.
ASJC Scopus subject areas
- Algebra and Number Theory