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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

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
5 votes
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dimension of D^b(coh( P^1))

Let me give a name to notion. If $T$ is a triangulated category and $G$ is an object, the minimal number of cones required to generate any object of $T$ starting with $G$ (and allowing for arbitrary f …
Matthew Ballard's user avatar