We introduce the class of concealed generalized canonical algebras and prove that their Auslander-Reiten quiver admits an infinite family of faithful standard stable tubes. Moreover, a new wide class of selfinjective algebras whose Auslander-Reiten quiver admits an infinite family of standard stable tubes is exhibited.
@article{1191247597,
author = {MALICKI, Piotr and SKOWRO\'NSKI, Andrzej},
title = {Concealed generalized canonical algebras and standard stable tubes},
journal = {J. Math. Soc. Japan},
volume = {59},
number = {1},
year = {2007},
pages = { 521-539},
language = {en},
url = {http://dml.mathdoc.fr/item/1191247597}
}
MALICKI, Piotr; SKOWROŃSKI, Andrzej. Concealed generalized canonical algebras and standard stable tubes. J. Math. Soc. Japan, Tome 59 (2007) no. 1, pp. 521-539. http://gdmltest.u-ga.fr/item/1191247597/