We provide a technique to find a cluster-tilting object having a given cluster-tilted algebra as endomorphism ring in the finite type case.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-2-7, author = {M. A. Bertani-\O kland and S. Oppermann and A. Wr\aa lsen}, title = {Finding a cluster-tilting object for a representation finite cluster-tilted algebra}, journal = {Colloquium Mathematicae}, volume = {120}, year = {2010}, pages = {249-263}, zbl = {1245.16011}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-2-7} }
M. A. Bertani-Økland; S. Oppermann; A. Wrålsen. Finding a cluster-tilting object for a representation finite cluster-tilted algebra. Colloquium Mathematicae, Tome 120 (2010) pp. 249-263. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-2-7/