Timeline for Proper subgroups of $\rm{SU}(d)$ that act transitively on $\rm{CP}^{d-1}$?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 27, 2013 at 20:57 | answer | added | Renato G. Bettiol | timeline score: 5 | |
| Feb 26, 2013 at 16:21 | comment | added | Venkataramana | I think that the OP meant infinitely many orbits, not that the orbits were infinite sets(which, as you say, is obvious). | |
| Feb 26, 2013 at 16:18 | comment | added | YCor | A subgroup of $PGL_n$ with only finite orbits on $P^{n-1}$ is finite. This is because $P^{n-1}$ has a finite subset $F$ such that every element of $PGL_n$ acting on $F$ as the identity is the identity everywhere (take $F$ to $\{e_1,e_2,\dots,e_n,e_1+e_2+\dots+e_n\}$ for some basis $(e_i)$). | |
| Feb 26, 2013 at 15:53 | answer | added | Venkataramana | timeline score: 5 | |
| Feb 26, 2013 at 15:07 | history | asked | Huangjun Zhu | CC BY-SA 3.0 |