Timeline for Closed orbits of complete flags in $\mathbb{C}^n$
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Mar 24, 2014 at 22:37 | comment | added | Nilay Kumar | Thanks a bunch for the references - glad to see there's a nice way to do this in general. | |
| Mar 24, 2014 at 22:35 | vote | accept | Nilay Kumar | ||
| Mar 24, 2014 at 13:56 | comment | added | Faisal | Yes, $O(n)$ here is really $O(\mathbb C^n, B)$, as stated in the OP. | |
| Mar 24, 2014 at 7:51 | comment | added | Ben McKay | @AlexDegtyarev: I think that the question is being asked in the algebraic category, so that $G$ is a complex algebraic group. The notation $O(n)$ is unclear, but means $O(n,\mathbb{C})$. | |
| Mar 24, 2014 at 6:15 | comment | added | Alex Degtyarev | There seems to be a misunderstanding here. Do you actually mean $O(n)$? How does it act? Should it not be $U(n)$ instead? | |
| Mar 24, 2014 at 4:09 | comment | added | Faisal | @Mariano: No, it's not: if $g$ is in $O(2)$ then $g \cdot i = (\det g) i = \pm i$. | |
| Mar 24, 2014 at 4:03 | comment | added | Mariano Suárez-Álvarez | In the case of P1 the action is transitive, no? | |
| Mar 24, 2014 at 3:59 | history | edited | Faisal | CC BY-SA 3.0 |
deleted 24 characters in body
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| Mar 24, 2014 at 3:54 | history | answered | Faisal | CC BY-SA 3.0 |