Timeline for Coinduced modules in the BGG category $\mathcal O$ over complex semisimple Lie algebras
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Sep 10, 2018 at 6:08 | vote | accept | GuNa | ||
| Sep 9, 2018 at 21:45 | comment | added | Jim Humphreys | @GuNa: To answer your question at the end, I did mean this. But on revisiting Chapter 12 (for the first time), I realize that I didn't anywhere state explicitly that the coinduced module coincides with the categorical dual. The lilterature on induced and coinduced modules is extensive but rather formal. | |
| Sep 9, 2018 at 0:57 | comment | added | GuNa | Thank you very much for this clarification. However I fail to identify twisted Verma modules with coinduced modules, that is, the former is a series of dual-Verma-module like modules while the later has no similar feature. So, I was wondering if you meant the coinduced module ($\text{Hom}_{U(\mathfrak b^-)}(U(\mathfrak g), \mathbb C_{\lambda})$) is one of them? | |
| Sep 8, 2018 at 18:22 | history | answered | Jim Humphreys | CC BY-SA 4.0 |