Timeline for Indefinite orthogonal groups over p-adics
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 5, 2014 at 4:27 | vote | accept | Subhajit Jana | ||
| Feb 3, 2014 at 9:13 | answer | added | Paul Broussous | timeline score: 4 | |
| Jan 31, 2014 at 6:14 | comment | added | user76758 | Perhaps you mean SO$_q$ rather than O$_q$, but regardless, the uniqueness of maximal compact subgroups over $\mathbf{R}$ breaks down completely over non-archimedean local fields $k$ (every compact subgroup of $G(k)$ lies in a maximal one, and the number of conjugacy classes of maximal compact subgroups is finite but generally $> 1$). There is a good notion of Cartan decomposition for the group of points of a connected semisimple group over a non-archimedean local field (see the work of Bruhat--Tits), but it has nothing to do with notions like Cartan involution. See Tits' article in Corvallis. | |
| Jan 31, 2014 at 5:07 | history | asked | Subhajit Jana | CC BY-SA 3.0 |