Timeline for Invariant subbundles of tangent bundle of flag variety
Current License: CC BY-SA 3.0
4 events
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| Mar 7, 2013 at 3:34 | history | edited | Sasha | CC BY-SA 3.0 |
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| Mar 7, 2013 at 3:32 | comment | added | Sasha | @Ben: I am not sure there is a simple answer. For example, among such subsets of roots there are subsets generated jut by one root (take a root $\alpha$ and consider all its sums with sums of positive roots). So, if you could read this from the Dynkin diagram you could read the positive roots as well. But as far as I know there is no recipe for that. By the way for a good list of roots you can look into Bourbaki. | |
| Mar 6, 2013 at 20:41 | comment | added | Ben McKay | When I said I can calculate the invariant subspaces in examples, that is precisely how I would do it: draw the roots (or get a computer to list them all) and look for all possible sets of roots which are invariant under these sorts of operations. | |
| Mar 6, 2013 at 20:23 | history | answered | Sasha | CC BY-SA 3.0 |