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Results tagged with derived-categories
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user 98863
For questions about the derived categories of various abelian categories and questions regarding the derived category construction itself.
4
votes
1
answer
321
views
Does localization at quasi-isomorphisms imply homotopy invariance?
Usually, the derived category of some abelian category $A$ (I'm happy already with $A$-mod) is defined first taking chain complexes up to homotopy, and then localize at quasi-isomorphisms.
My question …
- 1,028
4
votes
0
answers
90
views
Examples of "non equivalent" algebras that are derived equivalent?
One can define different equivalence relations between algebras depending on what one want to study, but also these definitions may have their own life and not result as one expected at first.
My inte …
- 1,028
2
votes
Hopf algebra in derived category vector spaces
If $C$ is a graded coalgebra (e.g. $C$= the homology of a d.g. Hopf algebra), then $C_0$ is not necesarily a subcoalgebra, because
$$\Delta(C_0)\subset (C\otimes C)_0=\oplus_{n\in\mathbb Z}C_n\otimes …
- 1,028