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Timeline for Why is this a local constant sheaf

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Dec 8, 2010 at 4:25 comment added Emerton Are you asking how to go backwards, i.e. how to recover $V$ from the associated local system?
Dec 7, 2010 at 7:30 comment added HYYY @Emerton, thanks!but how can we see the action of $G$ on $V$ from this local system? If we choose a point $x$ in $M$,do we get a section $c\in V$ of this local system over the point $[x]$ in $M/G$?And then if we choose another point $y$ which in the same orbit of $x$,assume $yg=x$,then we get another section $c'\in V$ over $[y]=[x]$,is that $gc=c'$?
Dec 6, 2010 at 17:05 history answered Emerton CC BY-SA 2.5