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Strongness of companion bases for cluster-tilted algebras of finite type
- Source :
- Proc. Amer. Math. Soc. 146(6) (2018) 2409-2416
- Publication Year :
- 2016
-
Abstract
- For every cluster-tilted algebra of simply-laced Dynkin type we provide a companion basis which is strong, i.e. gives the set of dimension vectors of the finitely generated indecomposable modules for the cluster-tilted algebra. This shows in particular that every companion basis of a cluster-tilted algebra of simply-laced Dynkin type is strong. Thus we give a proof of Parsons's conjecture.
- Subjects :
- Mathematics - Representation Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Proc. Amer. Math. Soc. 146(6) (2018) 2409-2416
- Publication Type :
- Report
- Accession number :
- edsarx.1609.02168
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1090/proc/13977