We discuss the roots of the Nakayama and Auslander-Reiten translations in the derived category of coherent sheaves over a weighted projective line. As an application we derive some new results on the structure of selfinjective algebras of canonical type.
@article{bwmeta1.element.bwnjournal-article-cmv86i2p209bwm,
author = {Helmut Lenzing and Andrzej Skowro\'nski},
title = {Roots of Nakayama and Auslander-Reiten translations},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {209-230},
zbl = {0982.16012},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv86i2p209bwm}
}
Lenzing, Helmut; Skowroński, Andrzej. Roots of Nakayama and Auslander-Reiten translations. Colloquium Mathematicae, Tome 84/85 (2000) pp. 209-230. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv86i2p209bwm/
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