Timeline for Word maps on compact Lie groups
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 10, 2010 at 6:43 | comment | added | Andreas Thom | That is a nice argument. | |
| Nov 9, 2010 at 22:44 | comment | added | Tom Goodwillie | Second question yes for $PSU(2)$ because yes for $SU(2)$, but by a very ad hoc method: The image of this map is a connected subset of $SU(2)$ and closed under conjugation, so it must be the whole group if it contains $-I$ as well as $I$. It does, because in the interesting subgroup of order $24$ I can think of a pair $a,b$ of elements of order $6$ such that $[[a,b],[a^2,b^2]]$ is the element of order $2$. | |
| Nov 9, 2010 at 22:40 | answer | added | Terry Tao | timeline score: 11 | |
| Nov 9, 2010 at 20:22 | history | asked | Andreas Thom | CC BY-SA 2.5 |