Timeline for A question about G-Manifolds
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2013 at 1:22 | vote | accept | CommunityBot | ||
| Apr 12, 2013 at 21:33 | comment | added | user21574 | @Ben , Nice comment | |
| Apr 12, 2013 at 21:11 | comment | added | Ben McKay | $G$ acts transitively on $M=G/H$ because every element of $G/H$ is a coset, i.e. has the form $m=gH$ for some $g \in G$. But then $m=gm_0$ where $m_0=H$. In case you are unfamiliar with cosets, an $H$-coset in $G$ s a set of points of $G$ of the form $gH = \{gh|h \in H\}$. The definition of $G/H$ is that it is the set of all $H$-cosets in $G$. | |
| Apr 12, 2013 at 18:25 | comment | added | user21574 | Although , it was elementary , but your answer was nice, But here G is just Lie group, so can we say G act transitively | |
| Apr 12, 2013 at 18:14 | vote | accept | CommunityBot | ||
| Apr 13, 2013 at 1:22 | |||||
| Apr 12, 2013 at 18:05 | history | answered | Ben McKay | CC BY-SA 3.0 |