Timeline for Verma modules in category $\mathcal{O}^\mathfrak{p}$
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 31, 2019 at 20:42 | comment | added | Tobias Kildetoft | After taking another look, it seems that Mazorchuk's "Homological Properties ... II" should provide at least a starting point for some citation hopping, but it does seem like it will take some steps to get to any details on the actual functors (other than just the definition). | |
| Mar 31, 2019 at 20:22 | comment | added | Vít Tuček | @TobiasKildetoft I would be interested in that if you ever come across it. | |
| Mar 31, 2019 at 19:27 | comment | added | Tobias Kildetoft | @JamesCheung When the Verma module is not in the parabolic subcategory, one often considers their images under the so-called Zuckerman functors as suitable replacements (I was going to point you to my paper with Mazorchuk on parabolic projective functors, but I can see that we hardly give any details about this there, so probably there are better references, likely written by Mazorchuk and collaborators). | |
| Mar 10, 2019 at 12:05 | comment | added | Vít Tuček | Yes, you can phrase it like that. | |
| Mar 9, 2019 at 9:52 | comment | added | James Cheung | Thank you very much. By the way, is locally $n_I^-$-finite meant any finitely generated $n_I^-$-module is finite dimensional as a vector space? | |
| Mar 7, 2019 at 16:01 | history | answered | Vít Tuček | CC BY-SA 4.0 |