Timeline for What extra conditions are necessary for the following version of Koszul duality?
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| Jun 19, 2011 at 23:54 | history | edited | David Ben-Zvi | CC BY-SA 3.0 |
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| Jun 17, 2011 at 16:39 | comment | added | Theo Johnson-Freyd | If I am reading correctly, your answer is: (1) the finiteness condition for the version I'm asking about is that $V$ be dualizable as a $k$-module; if I wanted the $\operatorname{Ext}$ version rather than the $\operatorname{Tor}$ version, I would instead need to ask that $V$ be dualizable as an $A$-module. (2) I need some condition that $V$ sees all of $A\text{-mod}$. Could you point me towards more discussion of (2)? I admit that this is about the edge of my intuition of $\infty$-categories: I have no clue, for example, why the trivial module should see all modules of $\mathfrak g$. | |
| Jun 16, 2011 at 18:27 | history | answered | David Ben-Zvi | CC BY-SA 3.0 |