Higher preprojective algebras and stably Calabi-Yau properties
Representation Theory
2014-04-21 v2
Abstract
In this paper, we give sufficient properties for a finite dimensional graded algebra to be a higher preprojective algebra. These properties are of homological nature, they use Gorensteiness and bimodule isomorphisms in the stable category of Cohen-Macaulay modules. We prove that these properties are also necessary for -preprojective algebras using \cite{Kel11} and for preprojective algebras of higher representation finite algebras using \cite{Dugas}.
Keywords
Cite
@article{arxiv.1307.5828,
title = {Higher preprojective algebras and stably Calabi-Yau properties},
author = {Claire Amiot and Steffen Oppermann},
journal= {arXiv preprint arXiv:1307.5828},
year = {2014}
}
Comments
23 pages, accepted for publication in Math. Res. Letters