Timeline for Classifying ample line bundles over the flag manifold $G/B$
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Oct 25, 2019 at 15:36 | comment | added | Jim Humphreys | Also, no need for "semisimple" here, since the radical is contained in every Borel subgroup. | |
| Oct 16, 2019 at 16:16 | comment | added | Jim Humphreys | Two comments: 1) A search of this site for something like "ample line bundle" reveals many overlapping questions here, such as 99361. 2) It's probably better to use Chevalley's classification to pass to the algebraic setting over any algebraically closed field, since the answer to the question has little to do with the complex setting (or with combinatorics). | |
| Oct 14, 2019 at 13:52 | vote | accept | Fofi Konstantopoulou | ||
| Oct 14, 2019 at 13:09 | answer | added | Sam Gunningham | timeline score: 5 | |
| Oct 13, 2019 at 21:57 | history | edited | Fofi Konstantopoulou | CC BY-SA 4.0 |
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| Oct 13, 2019 at 21:56 | comment | added | Fofi Konstantopoulou | @Donu: Of course, it is not just dominant weights, it has been edited accordingly. | |
| Oct 13, 2019 at 21:52 | comment | added | Fofi Konstantopoulou | Yes, the assumption is that $G$ is semisimple. | |
| Oct 13, 2019 at 21:03 | comment | added | Donu Arapura | (I'm not an expert on representation theory, so you can take this with a grain of salt.) My understanding is that line bundles correspond to vectors in the weight lattice, and the dominant weights correspond to the ample ones. I suppose that you meant for your $G$ to be semisimple. | |
| Oct 13, 2019 at 14:18 | history | asked | Fofi Konstantopoulou | CC BY-SA 4.0 |