Endomorphism Algebras of [formula omitted](Δ) over Quasi-hereditary Algebras

Abstract

Let A be a finite-dimensional algebra over an algebraically closed field. If A is an F(Δ)-finite quasi-hereditary algebra, then the endomorphism algebra of the direct sum of all non-isomorphic indecomposable Δ-good modules over A is quasi-hereditary. Moreover, this endomorphism algebra is left QF-3 if and only if the injective direct summand of the characteristic module T cogenerates T.