Radical cube zero weakly symmetric algebras and support varieties
Representation Theory
2014-12-17 v1 K-Theory and Homology
Abstract
One of our main results is a classification all the weakly symmetric radical cube zero finite dimensional algebras over an algebraically closed field having a theory of support via the Hochschild cohomology ring satisfying Dade's Lemma. Along the way we give a characterization of when a finite dimensional Koszul algebra has such a theory of support in terms of the graded centre of the Koszul dual.
Cite
@article{arxiv.1003.2867,
title = {Radical cube zero weakly symmetric algebras and support varieties},
author = {Karin Erdmann and Øyvind Solberg},
journal= {arXiv preprint arXiv:1003.2867},
year = {2014}
}