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Oct 29, 2010 at 20:55 vote accept B. Bischof
Oct 29, 2010 at 19:51 comment added Ben Webster Sure. The point is just that for any $G$-space $X$, $G$-orbits on $G/H \times X$ are in canonical bijection with $H$-orbits on $X$, by taking the fiber over the identity coset.
Oct 29, 2010 at 17:48 comment added B. Bischof Great, thank you. In the higher dim case of flag varieties, can we see the Schubert cells in this way?
Oct 29, 2010 at 17:05 history answered Ben Webster CC BY-SA 2.5