Timeline for Does Poincaré duality link topological study and representation study of a given Lie group?
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| Sep 19, 2023 at 7:59 | comment | added | TopGenAx | I may perhaps precise my question. The direct image with compact support transforms any sheaf $F$ to a cosheaf $F_c$ but at the same time $F_c \subset F$. Thus, I missunderstand the structure of module on these. If $F$ is an $A$-module, will $F_c$ be a cosheaf of $A$-module ? If yes, it turns out with $A = O_G$ in my question that $(O_G)_c$ is a cosheaf of $O_G$-module. And thus $(O_G)_c$ doesn't herite of the convolution product but of the restriction of the commutative multiplication of $O_G$. So $(O_G)_c$ is really different of $\mathbb{C} \rtimes G$ as an algebra. | |
| S Jul 4, 2023 at 10:44 | review | First questions | |||
| Jul 4, 2023 at 11:29 | |||||
| S Jul 4, 2023 at 10:44 | history | asked | TopGenAx | CC BY-SA 4.0 |