Let A be a finite-dimensional algebra over an algebraically closed field. The algebra A is called locally hereditary if any local left ideal of A is projective. We give criteria, in terms of the Tits quadratic form, for a locally hereditary algebra to be of tame representation type. Moreover, the description of all representation-tame locally hereditary algebras is completed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-2-3,
author = {Zbigniew Leszczy\'nski},
title = {Representation-tame locally hereditary algebras},
journal = {Colloquium Mathematicae},
volume = {100},
year = {2004},
pages = {175-187},
zbl = {1062.16025},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-2-3}
}
Zbigniew Leszczyński. Representation-tame locally hereditary algebras. Colloquium Mathematicae, Tome 100 (2004) pp. 175-187. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm99-2-3/