Timeline for Is every finite-dimensional Lie algebra the Lie algebra of an algebraic group?
Current License: CC BY-SA 2.5
3 events
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| Jul 4, 2011 at 15:12 | comment | added | Allen Knutson | The orbit through $x\in X$ is the image of the composite map $G \to G \times \{x\} \to G \times X \to X$. Images of algebraic maps are constructible sets. Constructible sets (are nasty but) have an open set on which they are locally closed. So $G\cdot x$ has an open dense set on which it's locally closed. And $G\cdot x$ is homogeneous, so it's locally closed everywhere. | |
| Jun 30, 2011 at 3:06 | comment | added | Dr Shello | Hmmmm.......why not? | |
| May 5, 2010 at 14:51 | history | answered | Allen Knutson | CC BY-SA 2.5 |