Finitude homologique des foncteurs sur une catégorie additive et applications
Finitude homologique des foncteurs sur une catégorie additive et applications
We give sufficient conditions which ensure that a functor of finite length from an additive category to finite-dimensional vector spaces has a projective resolution whose terms are finitely generated. For polynomial functors, we study also a weaker homological finiteness property, which applies to twisted homological stability for matrix monoids. This …