The Representation Dimension of a Selfinjective Algebra of Wild Tilted Type
Representation Theory
2016-07-04 v1
Abstract
We prove that the representation dimension of a selfinjective algebra of wild tilted type is equal to three, and give an explicit construction of an Auslander generator of its module category. We also show that if a connected selfinjective algebra admits an acyclic generalised standard Auslander-Reiten component then its representation dimension is equal to three.
Keywords
Cite
@article{arxiv.1607.00305,
title = {The Representation Dimension of a Selfinjective Algebra of Wild Tilted Type},
author = {Ibrahim Assem and Andrzej Skowronski and Sonia Trepode},
journal= {arXiv preprint arXiv:1607.00305},
year = {2016}
}
Comments
arXiv admin note: text overlap with arXiv:1510.06443