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

Abstract

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

arXiv comment23 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