Timeline for G-Modules on X=G/H modules on X/H ?
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 30, 2010 at 21:11 | comment | added | Jan Weidner | Thanks, this looks good, however I am not yet very experianced with stacks. Have you a reference for some of your claims, especially (3) or (4)? | |
| Jun 30, 2010 at 20:28 | comment | added | Sasha | I don't know a reference, but it should follow from the following: (1) $G$-equivariant sheaves on X = sheaves on the quotient stack $X//G$; (2) $G/H$-equivariant sheaves on $X/H$ = sheaves on the quotient stack $(X/H)//(G/H)$; (3) $X/H = X//H$ (because of the assumptions on the action of $H$ on $X$); and finally (4) $(X//H)//(G/H) = X//G$. | |
| Jun 30, 2010 at 16:26 | history | asked | Jan Weidner | CC BY-SA 2.5 |