Timeline for If $G$ is compact, $H \leq G$ open, $V$ an irreducible $H$-rep, is $\text{Ind}_H^G$ semisimple?
Current License: CC BY-SA 3.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 24, 2014 at 15:35 | vote | accept | John Binder | ||
| Jul 24, 2014 at 15:02 | answer | added | Venkataramana | timeline score: 6 | |
| Jul 24, 2014 at 13:18 | history | edited | John Binder | CC BY-SA 3.0 |
deleted 38 characters in body
|
| Jul 24, 2014 at 13:17 | comment | added | John Binder | @Venkataraman: you're right, I'm sorry. The representation-theoretic background is a bit outside my area of expertise and the representations I have are all finite-dimensional anyways; I'll edit to reflect. | |
| Jul 24, 2014 at 12:43 | comment | added | Venkataramana | I don't see why irreducible implies finite dimensional either. This is only true for complex irreps of compact groups. | |
| Jul 24, 2014 at 12:33 | history | edited | John Binder | CC BY-SA 3.0 |
added 55 characters in body
|
| Jul 24, 2014 at 12:32 | comment | added | John Binder | @Laurent: thanks, you're right. Somehow after my first edit, the 'irreducible' got lost in the shuffle. | |
| Jul 24, 2014 at 6:22 | comment | added | Laurent Berger | The continuity of the action does not imply that V is finite diml. | |
| Jul 23, 2014 at 20:22 | history | edited | John Binder | CC BY-SA 3.0 |
deleted 24 characters in body
|
| Jul 23, 2014 at 20:12 | history | edited | John Binder | CC BY-SA 3.0 |
added 85 characters in body
|
| Jul 23, 2014 at 20:07 | comment | added | John Binder | @Keenan: Yes, yes, and yes. Edited to reflect. | |
| Jul 23, 2014 at 19:25 | comment | added | Keenan Kidwell | Is $V$ is a topological vector space over $K$? Finite-dimensional? Is the $G$-action continuous? | |
| Jul 23, 2014 at 16:51 | history | asked | John Binder | CC BY-SA 3.0 |