Authors: Steffen Koenig (University of Bielefeld) and Changchang Xi (Beijing Normal 
University)

Title: When is a cellular algebra quasi-hereditary ?
Status: to appear in Mathematische Annalen

Abstract: Among the cellular algebras, the quasi-hereditary ones are
characterized in three different ways; by finiteness of global dimension,
by the Cartan matrix having determinant one, and by the length of a given
cell chain being equal to the number of simples. As an application, it is
determined when a Brauer algebra or a partition algebra is quasi-hereditary.