n-representation-finite algebras and n-APR tilting
Representation Theory
2012-10-30 v2
Abstract
We introduce the notion of n-representation-finiteness, generalizing representation-finite hereditary algebras. We establish the procedure of n-APR tilting, and show that it preserves n-representation-finiteness. We give some combinatorial description of this procedure, and use this to completely describe a class of n-representation-finite algebras called "type A".
Keywords
Cite
@article{arxiv.0909.0593,
title = {n-representation-finite algebras and n-APR tilting},
author = {Osamu Iyama and Steffen Oppermann},
journal= {arXiv preprint arXiv:0909.0593},
year = {2012}
}
Comments
33 pages, Sections 3 and 4 rearranged, Subsection 3.3 generalized, some explanations added and typos corrected