Timeline for Why the BGG category O?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 14, 2013 at 14:36 | vote | accept | bradhd | ||
| May 15, 2011 at 18:10 | comment | added | Chuck Hague | The answers below are very good and give nice, thorough explanations of the use of category O. I would add one small comment, which is that category O also contains a lot of important modules: the Verma modules (which are universal highest-weight modules), the ring of functions on the unipotent radical U of your chosen Borel inside of a group G with lie algebra g, the enveloping algebra of Lie U^-, etc. If you want to learn more about how those modules behave, considering them as objects inside of cat O and doing homological algebra there can be quite useful. | |
| May 14, 2011 at 3:23 | answer | added | David Ben-Zvi | timeline score: 22 | |
| May 13, 2011 at 20:51 | answer | added | Jim Humphreys | timeline score: 21 | |
| May 13, 2011 at 20:37 | answer | added | Ben Webster♦ | timeline score: 19 | |
| May 13, 2011 at 20:26 | history | asked | bradhd | CC BY-SA 3.0 |