2017/10/18 by Green, Edward L., Schroll, Sibylle
#FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.1710.06674
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.