DMCA
Stable categories of higher preprojective algebras (2009)
by
Osamu Iyama
,
Steffen Oppermann
| Citations: | 21 - 9 self |
BibTeX
@MISC{Iyama09stablecategories,
author = {Osamu Iyama and Steffen Oppermann},
title = {Stable categories of higher preprojective algebras},
year = {2009}
}
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Abstract
Abstract. We show that if an algebra is n-representation-finite then its (n + 1)-preprojective algebra is self-injective. In this situation, we show that the stable module category is (n + 1)-Calabi-Yau, and, more precisely, it is the (n+1)-Amiot cluster category of the stable n-Auslander algebra. Finally we show that if the (n + 1)-preprojective algebra is not self-injective, under certain assumptions (which are always satisfied for n ∈ {1, 2}) the result above still holds for
