Kevin Coulembier
Published 2020-03-27Version 1
We demonstrate equivalence between two definitions of lower finite highest weight categories. We also show that, in the presence of a duality, a lower finite highest weight structure on a category is unique. Finally, we give a new proof for the fact that any abelian category is extension full in its ind-completion.
Some homological properties of the category $\mathcal{O}$
Some homological properties of category $\mathcal{O}$, VII
On the derived dimension of abelian categories
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