Timeline for Extending group actions to vector bundles
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 16, 2021 at 14:50 | answer | added | Danny Ruberman | timeline score: 1 | |
| Apr 16, 2021 at 6:59 | answer | added | Severin Bunk | timeline score: 3 | |
| Apr 14, 2021 at 11:39 | history | became hot network question | |||
| Apr 14, 2021 at 9:25 | answer | added | Neil Strickland | timeline score: 8 | |
| Apr 14, 2021 at 8:51 | comment | added | user130903 | I understand the question as asking for actions which extend the group action to fibre-wise linear maps. If $G$ is a Lie group, acting on itself by, say, left-translations, then this can only happen, if the bundle is trivial, since fixing a basis over one point, you can move this basis across to get a trivialization. | |
| Apr 14, 2021 at 8:41 | comment | added | abx | Do you mean an action by vector bundle automorphisms, or an action compatible with the action of $G$ on $M$? In the former case the fact that $G$ acts on $M$ is irrelevant, in the latter $G$ does not act on the fibers of $V$. | |
| S Apr 14, 2021 at 4:59 | review | First posts | |||
| Apr 14, 2021 at 5:41 | |||||
| S Apr 14, 2021 at 4:59 | review | Close votes | |||
| Apr 14, 2021 at 21:58 | |||||
| Apr 14, 2021 at 3:38 | history | asked | Senya | CC BY-SA 4.0 |