Realizing orbit categories as stable module categories - a complete classification
Representation Theory
2017-08-24 v2
Abstract
We classify all triangulated orbit categories of path-algebras of Dynkin diagrams that are triangle equivalent to a stable module category of a representation-finite self-injective standard algebra. For each triangulated orbit category T we give an explicit description of a representation-finite self-injective standard algebra with stable module category triangle equivalent to T.
Cite
@article{arxiv.1508.02970,
title = {Realizing orbit categories as stable module categories - a complete classification},
author = {Benedikte Grimeland and Karin M Jacobsen},
journal= {arXiv preprint arXiv:1508.02970},
year = {2017}
}
Comments
22 pages; this is the final accepted version which is to appear in Contributions to Algebra and Geometry