On quasi-hereditary algebras
Representation Theory
2019-08-26 v3
Abstract
Establishing whether an algebra is quasi-hereditary or not is, in general, a difficult problem. In this paper we introduce a sufficient criterion to determine whether a general finite dimensional algebra is quasi-hereditary by showing that the question can be reduced to showing that a closely associated monomial algebra is quasi-hereditary. For monomial algebras, we give an explicit, easily verifiable, necessary and sufficient criterion to determine whether it is quasi-hereditary.
Cite
@article{arxiv.1710.06674,
title = {On quasi-hereditary algebras},
author = {Edward L. Green and Sibylle Schroll},
journal= {arXiv preprint arXiv:1710.06674},
year = {2019}
}
Comments
12 pages