Timeline for Why should we consider D-module on flag variety of Lie algebra?
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
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| Mar 14, 2010 at 6:19 | comment | added | David Ben-Zvi | Ben - come on, you know better than that - when speaking of twisted D-modules on the flag variety there's no reason the twisting needs to be imposed strictly rather than in a generalized way.. | |
| Mar 14, 2010 at 5:15 | comment | added | Shizhuo Zhang | Actually, one should go to flag variety rather than base affine space because of exactness of global section functors. I will elaborate later | |
| Mar 13, 2010 at 21:57 | comment | added | Kevin McGerty | @Ben: haha yea sure, but I meant that people often work with the basic affine space without explicitly saying it. | |
| Mar 13, 2010 at 20:12 | comment | added | Ben Webster♦ | Unknown- Your question is very unclear. There are people on this site (such as Kevin and myself) who know many things about the objects you mention but without anything specific to go on, there's not a lot we can tell you. | |
| Mar 13, 2010 at 20:12 | comment | added | Ben Webster♦ | Kevin- Come on, you know better than that: D-modules on the base affine space see generalized central characters, those on the flag variety only see representations where the center acts semi-simply. | |
| Mar 13, 2010 at 18:26 | comment | added | Kevin McGerty | Essentially people do consider all these things -- when you include twisted D-modules on the flag variety you are essentially studying D-modules on the basic affine space, and D-modules on any partial flag variety are also studied (in relation to singular characters in particular). | |
| Mar 13, 2010 at 17:54 | history | asked | user3722 | CC BY-SA 2.5 |