Timeline for Classification of (compact) Lie groups
Current License: CC BY-SA 2.5
2 events
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| May 19, 2010 at 22:24 | comment | added | Victor Protsak | A comment on "beware it is not obvious" in paragraph 3, line 3: The algebraic group $G=SO(p,q), p,q\geq 2$, is connected, but its group of real points has 2 components, since $O(p,q)(\mathbb{R})$ is homotopy equivalent to $O(p)(\mathbb{R})\times O(q)(\mathbb{R})$ and $O(p)(\mathbb{R})$ and $O(q)(\mathbb{R})$ each have two components detected by the determinant. This shows that anisotropy requirement on $G$ is essential. | |
| Feb 24, 2010 at 15:31 | history | answered | BCnrd | CC BY-SA 2.5 |