Algebras with non-periodic bounded modules
Representation Theory
2016-01-28 v1
Abstract
We study weakly symmetric special biserial algebras of infinite representation type. We show that usually some socle deformation of such an algebra has non-periodic bounded modules. The exceptions are precisely the algebras whose Brauer graph is a tree with no multiple edges. If the algebra has a non-periodic bounded module then its Hochschild cohomology cannot satisfy the finite generation property (Fg).
Cite
@article{arxiv.1601.07480,
title = {Algebras with non-periodic bounded modules},
author = {Karin Erdmann},
journal= {arXiv preprint arXiv:1601.07480},
year = {2016}
}
Comments
21 pages