2013/01/01 by Claire Amiot, Amiot, Claire, Steffen Oppermann +1
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.1307.5828
23 pages, accepted for publication in Math. Res. Letters
openalex publication_date 2013/07/22 · arxiv created 2014/04/18 · arxiv updated 2014/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 3-preprojective algebras using \citeKel11 and for preprojective algebras of higher representation finite algebras using \citeDugas.