Timeline for Simplicity of (complex) orthogonal groups
Current License: CC BY-SA 2.5
13 events
| when toggle format | what | by | license | comment | |
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| Aug 3, 2010 at 10:10 | vote | accept | JGis | ||
| Jun 22, 2010 at 0:50 | comment | added | Victor Protsak | Another problem with the even case is that $SO_4$ is not simple as an algebraic group: it is isogenuous to $SO_3\times SO_3.$ | |
| Jun 21, 2010 at 20:55 | vote | accept | JGis | ||
| Jun 21, 2010 at 21:51 | |||||
| Jun 21, 2010 at 20:40 | answer | added | Jim Humphreys | timeline score: 4 | |
| Jun 21, 2010 at 20:36 | vote | accept | JGis | ||
| Jun 21, 2010 at 20:37 | |||||
| Jun 21, 2010 at 20:36 | vote | accept | JGis | ||
| Jun 21, 2010 at 20:36 | |||||
| Jun 21, 2010 at 20:34 | answer | added | Skip | timeline score: 5 | |
| Jun 21, 2010 at 20:24 | answer | added | Torsten Ekedahl | timeline score: 2 | |
| Jun 21, 2010 at 20:01 | history | edited | JGis | CC BY-SA 2.5 |
edited body; added 20 characters in body
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| Jun 21, 2010 at 19:45 | answer | added | Charles Matthews | timeline score: 1 | |
| Jun 21, 2010 at 19:43 | comment | added | Torsten Ekedahl | (I presume you mean $A\in\mathrm{SL}_n(\mathbb C)$.) When $n$ is even the group has non-trivial centre and hence is not simple but that is the only problem. Generally results on normal subgroups of semi-simple groups is due to Tits but this particular case may be earlier. | |
| Jun 21, 2010 at 19:42 | comment | added | Ryan Reich | That's $O_n(\mathbb{C})$ you've defined. You should write $A \in SL_n(\mathbb{C})$ (otherwise there's an obvious normal subgroup :)). | |
| Jun 21, 2010 at 19:32 | history | asked | JGis | CC BY-SA 2.5 |