Timeline for What do the Carnot groups act on?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Jul 15, 2023 at 23:32 | comment | added | Theo Diamantakis | I see., thank you. Is there some geometric intuition this can impart or is it just operations that happen to be nice? | |
| Jul 15, 2023 at 21:31 | comment | added | YCor | It's not through conjugation, it's through left translation. Yes, all groups acts in this way, but for many groups it's not the "best" action (typically one needs to enlarge, or mod out, to get something contractible). But for Carnot groups, the group itself is the right object. | |
| Jul 15, 2023 at 19:26 | comment | added | Theo Diamantakis | I suppose so, but since all groups act on themselves through conjugation that feels a little bit underwhelming. | |
| Jul 15, 2023 at 17:28 | history | edited | YCor | CC BY-SA 4.0 |
removed capitals from title
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| Jul 15, 2023 at 17:21 | comment | added | YCor | I think that "the" nice space on which a Carnot group acts is itself (with a left-invariant CC metric). | |
| Jul 15, 2023 at 16:44 | history | edited | Theo Diamantakis | CC BY-SA 4.0 |
added 4 characters in body
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| S Jul 15, 2023 at 16:32 | review | First questions | |||
| Jul 15, 2023 at 16:55 | |||||
| S Jul 15, 2023 at 16:32 | history | asked | Theo Diamantakis | CC BY-SA 4.0 |