Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 2266-2288 |
| Number of pages | 23 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 221 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 1 2017 |
Bibliographical note
Publisher Copyright:© 2016 Elsevier B.V.
Funding
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.
| Funders | Funder number |
|---|---|
| NSERC of Canada University | |
| Connecticut 06520 Yale University New Haven Connecticut 06520 | MSPRF-1502881 |
| U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China | 1254567, 1502881 |
ASJC Scopus subject areas
- Algebra and Number Theory
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