Timeline for Is the functor of divided powers a weakly monoidal functor?
Current License: CC BY-SA 2.5
5 events
when toggle format | what | by | license | comment | |
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Mar 28, 2011 at 0:10 | vote | accept | Ivan Yudin | ||
Mar 27, 2011 at 16:11 | comment | added | Ivan Yudin | Good point, it makes things to work for free $R$-modules, and at the moment I am not sure that $\tau$ is well-defined for all $R$-modules $M$ and $N$. | |
Mar 27, 2011 at 13:28 | comment | added | M T | as $\mathsf{GL}(V)$ modules, $V$ a vector space, $D^r(V)^*\cong S^r(V^∗)$ ($S$ is the symmetric power, $^*$ is the Hopf algebra dual). This is true in more generality, see the wiki article for divided power, so you can pass information about the symmetric power functor over to the divided power functor. | |
Mar 27, 2011 at 13:26 | answer | added | Torsten Ekedahl | timeline score: 12 | |
Mar 27, 2011 at 11:54 | history | asked | Ivan Yudin | CC BY-SA 2.5 |