Timeline for When are maximal compacts same as maximal parahorics?
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 21, 2016 at 13:20 | comment | added | Vishal Gupta | Now I am confused. I thought parahorics are always compact. If B denotes the Iwahori and any parahoric is a finite union on BwB, and B is compact, then so is any parahoric. What am I missing? | |
| Jun 20, 2016 at 14:24 | comment | added | Paul Broussous | They are compact mod center ! If $G$ is semisimple, they are compact. | |
| Jun 20, 2016 at 12:25 | comment | added | Vishal Gupta | I see, so stabilizers of vertices being parahoric are always compact but they may not be maximal compact. | |
| Jun 20, 2016 at 12:09 | comment | added | Paul Broussous | more precisely {\bf maximal} compact subgroups are non necessarily stabilizers of vertices. | |
| Jun 20, 2016 at 11:38 | comment | added | Vishal Gupta | So my statement that "maximal compacts are exactly the same as maximal parahorics" holds true only in simply connected case? So if I understand things correctly, in non simply connected case, compacts are not stabilizers of vertices... | |
| Jun 20, 2016 at 9:54 | history | answered | Paul Broussous | CC BY-SA 3.0 |