Timeline for How to compute irreducible representation of Lie algebra in the framework of BBD
Current License: CC BY-SA 2.5
4 events
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| May 3, 2010 at 19:58 | comment | added | Ilya Nikokoshev | I don't think you'll get anything this way that you couldn't get by Verma modules... although that, again, depends on what types of constructions you're looking for. Perhaps you should really split the question into different ones... | |
| May 3, 2010 at 7:36 | comment | added | Shizhuo Zhang | Thank you. But there are two problems: 1. What Borel-Weil gave is just finite dimensional representations, using this construction we do not need D-modules story 2. One can use Verma module directly, constructing irreducible quotients to get representations. There is not necessary to introduce D-module theory either. Maybe I should make the question clearer, what I want to know is in which situation, we almost can not avoid D-module theory(which means using D-module theory we can construct representations much more efficiently)? | |
| May 3, 2010 at 7:10 | history | edited | Ilya Nikokoshev | CC BY-SA 2.5 |
fix le
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| May 3, 2010 at 7:04 | history | answered | Ilya Nikokoshev | CC BY-SA 2.5 |