Timeline for How to think about parabolic induction.
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 21, 2017 at 8:42 | comment | added | Wilberd van der Kallen | No, in the linear algebraic-group setting many modules are not finite dimensional. They are comodules for the coordinate ring viewed as a Hopf algebra. Induction is not defined the way you seem to think. See the book Representations of Algebraic Groups by Jantzen for all this. | |
| Sep 20, 2017 at 12:51 | comment | added | LSpice | I'm sure I'm being stupid, but I can't understand how this can possibly be. In the algebraic-group setting, modules are finite-dimensional, right? Since restriction–induction changes dimensions, how can it possibly leave $P$-modules unchanged? | |
| Dec 10, 2012 at 13:23 | history | answered | Wilberd van der Kallen | CC BY-SA 3.0 |