English

$\tau$-Rigid Modules from Tilted to Cluster-Tilted Algebras

Representation Theory 2019-10-16 v2

Abstract

We study the module categories of a tilted algebra C and the corresponding cluster-tilted algebra B. In particular, we study which τ\tau-rigid C-modules are also τ\tau-rigid B-modules.

Keywords

Cite

@article{arxiv.1608.02418,
  title  = {$\tau$-Rigid Modules from Tilted to Cluster-Tilted Algebras},
  author = {Stephen Zito},
  journal= {arXiv preprint arXiv:1608.02418},
  year   = {2019}
}

Comments

23 pages. Corrected typos and improved several results. arXiv admin note: text overlap with arXiv:1608.01616; text overlap with arXiv:1410.1732, arXiv:1604.06907 by other authors

R2 v1 2026-06-22T15:14:50.064Z