Timeline for Intersections of $B$ and $B^-$ orbits in the flag variety $G/B$
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 16, 2015 at 6:02 | comment | added | Allen Knutson | Yes, that's the one. It'll tell you that $S_x \cap g\cdot S_y$ is transverse for general $g$. This intersection changes to something isomorphic if you multiply $g$ on the left by $B_-$, and changes not at all if you multiply it on the right by $B_-$. So we can reduce $g$ from being in the generic Bruhat stratum of $G$ to actually being $w_0$, and still maintain transversality. | |
| Jan 15, 2015 at 20:03 | comment | added | Qiao | Thanks! Are you referring to this paper of Kleiman 'The Transversality of a General Translate', or another paper? How does this paper immediately imply that Richardson varieties are nice and have dimension $l(w_1) - l(w_2)$? | |
| Jan 14, 2015 at 18:18 | vote | accept | Qiao | ||
| Jan 14, 2015 at 18:15 | vote | accept | Qiao | ||
| Jan 14, 2015 at 18:18 | |||||
| Jan 14, 2015 at 17:20 | history | answered | Allen Knutson | CC BY-SA 3.0 |