Representations of small categories and grothendieck derivators

Abstract

We explain the notion of stable derivator and how it enhances triangulated categories. We also show how classical derived equivalences based on Bernstein-Gelfand- Ponomarev reflection functors generalize to a refined version in the context of stable derivators, and indicate what tilting modules are in that context.

Keywords

• Representations
• small
• categories
• grothendieck
• derivators