Timeline for How to detect if a subgroup lands inside an orthogonal group?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 9, 2014 at 10:18 | comment | added | Name | Also note that when $n$ is even, $GL(n/2,\mathbb{C})$ can be embedded in $O(n,\mathbb{C})$. | |
| Jan 9, 2014 at 7:57 | answer | added | Glasby | timeline score: 1 | |
| May 19, 2013 at 0:09 | comment | added | Allen Knutson | en.wikipedia.org/wiki/Frobenius%E2%80%93Schur_indicator | |
| May 18, 2013 at 15:13 | comment | added | Moderat | @Aakumadula thank you. I will consult Fulton and Harris, I will surely find it in there | |
| May 18, 2013 at 15:05 | comment | added | Venkataramana | There are criteria to tell if the form that the "self-dual" group $H$preserves is orthogonal or symplectic, in terms of the action by a particular element of the centre of $H$. All this is classical, and I am sure is in standard textbooks. | |
| May 18, 2013 at 15:03 | comment | added | Venkataramana | Yes, of course that is the case. The natural representation of the orthogonal group is self dual,hence so is its restriction to $H$. But not conversely: the symplectic group also has self dual natural representation. | |
| May 18, 2013 at 14:49 | history | asked | Moderat | CC BY-SA 3.0 |