Timeline for Connected components of the orthogonal group O(2n) in characteristic 2.
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Jun 2, 2010 at 14:59 | comment | added | Skip | (cont'd) That should be "Proposition 5.2.2 in Chapter IV" (p.225) | |
| Jun 2, 2010 at 14:58 | comment | added | Skip | The same fact ($O(2n) = SO(2n) \rtimes Z/2$) is Proposition 5.2.2 in Knus's "Quadratic and hermitian forms over rings", with full proof. $SO(2n)$ is connected because it is almost simple. Is this a more satisfactory reference? | |
| Apr 15, 2010 at 11:29 | comment | added | Mikhail Borovoi | In the Book of Involutions it is written: The associated classical algebraic group is known to be connected (Borel, 23.6)... | |
| Apr 14, 2010 at 19:29 | history | answered | mark | CC BY-SA 2.5 |