Timeline for The isometry groups of flag manifolds
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Oct 24, 2018 at 17:07 | comment | added | Victor Petrov | If you consider them as complex algebro-geometric varieties, the answer (computed in full generality by Demazure in eudml.org/doc/142464 ) is either $PGL_n({\mathbb C})$ or the semi-direct product of the latter with ${\mathbb Z}/2$ (acting as the contragradient map). Then you can either mimic the proof in the category of manifolds or use the main principle of GAGA by Serre (the latter, however, will give only the holomorphic isometries). | |
| Oct 24, 2018 at 16:04 | comment | added | annie marie cœur | @R W, I am guessing wonderich is asking the symmetry group of the manifolds. Does it matter which metrics you choose? | |
| Oct 24, 2018 at 2:24 | comment | added | R W | Which metric(s) are you talking about? | |
| Oct 24, 2018 at 1:15 | history | asked | wonderich | CC BY-SA 4.0 |