The D-standard and K-standard categories.

We introduce the notions of a D -standard abelian category and a K -standard additive category. We prove that for a finite dimensional algebra A , its module category is D -standard if and only if any derived autoequivalence on A is standard, that is, isomorphic to the derived tensor functor by a two-sided tilting complex. We prove that if the subcategory of projective A -modules is K -standard, then the module category is D -standard. We provide new examples of D -standard module categories. [ABSTRACT FROM AUTHOR]