English

Modules over cluster-tilted algebras that do not lie on local slices

Representation Theory 2016-06-17 v1 Rings and Algebras

Abstract

We characterize the indecomposable transjective modules over an arbitrary cluster-tilted algebra that do not lie on a local slice, and we provide a sharp upper bound for the number of (isoclasses of) these modules.

Keywords

Cite

@article{arxiv.1606.05161,
  title  = {Modules over cluster-tilted algebras that do not lie on local slices},
  author = {Ibrahim Assem and Ralf Schiffler and Khrystyna Serhiyenko},
  journal= {arXiv preprint arXiv:1606.05161},
  year   = {2016}
}

Comments

10 pages. arXiv admin note: text overlap with arXiv:1606.00938

R2 v1 2026-06-22T14:26:56.645Z