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A triangulated category is an additive category equipped with the additional structure of an autoequivalence (called the translation functor) and a class of of triangles satisfying certain axioms.

12 votes

Categories which are not compactly generated

Not from modular representation theory, but the following seems like a geometrically natural example: Neeman has a nice note where he shows that the only compact object, in the derived category of sh …
Matthew Ballard's user avatar