Finitistic dimension and tilting modules for stratified algebras

We calculate the finitistic dimension of certain stratified algebras in terms of the projective dimension of the characteristic tilting module. This includes, in particular, quasi-hereditary algebras, whose Koszul dual is again quasi-hereditary; stratified algebras, which are quotients of quasi-hereditary algebras over complete local commutative rings; and stratified algebras associated with Harish-Chandra bimodules for complex semi-simple finite-dimensional Lie algebras.