Quasitilted algebras have been introduced as a proper generalization of tilted algebras. In an earlier article we determined necessary conditions for one-point extensions of decomposable finite-dimensional hereditary algebras to be quasitilted and not tilted. In this article we study algebras satisfying these necessary conditions in order to investigate to what extent the conditions are sufficient.
@article{bwmeta1.element.bwnjournal-article-cmv81i1p141bwm,
author = {Dieter Happel and Inger Slung\aa rd},
title = {On quasitilted algebras which are one-point extensions of hereditary algebras},
journal = {Colloquium Mathematicae},
volume = {79},
year = {1999},
pages = {141-152},
zbl = {0948.16010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv81i1p141bwm}
}
Happel, Dieter; Slungård, Inger. On quasitilted algebras which are one-point extensions of hereditary algebras. Colloquium Mathematicae, Tome 79 (1999) pp. 141-152. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv81i1p141bwm/
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