Timeline for The geometry of closure of orbit of Borel subgroup in G/B × G/B.
Current License: CC BY-SA 2.5
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 11, 2010 at 7:22 | vote | accept | JJH | ||
| May 11, 2010 at 7:22 | |||||
| May 10, 2010 at 17:54 | comment | added | Jim Humphreys | Small edit to last line of comment: "This many orbit closures at any rate ..." | |
| May 10, 2010 at 16:26 | comment | added | Jim Humphreys |
I'm still not sure what the question is actually about (or its motivation), but the $B$-orbits in question will be few in number and presumably easier to characterize than general $B$-orbits. To be precise, there are $|W|^2$ pairs of the given type; maybe there will be just $|W|$ distinct "types" of orbits? This many orbits at any rate look just like Schubert varieties in $G/B$.
|
|
| May 10, 2010 at 15:50 | comment | added | Allen Knutson | The question is more about certain $G$-orbits in $(G/B)^3$ than $(G/B)^2$, with the important difference that there are infinitely many $G$-orbits there but only finitely many of the form inquired about. | |
| May 10, 2010 at 13:02 | history | edited | Jim Humphreys | CC BY-SA 2.5 |
added 39 characters in body
|
| May 10, 2010 at 12:16 | comment | added | JJH | In my question, $T$ is maximal. I don't even know whether all B-orbits in the closure of $\mathcal{O}_{y,w}$ are of the form $\mathcal{O}_{y',w'}$, where $y',w'$ are T-fixed points in $G/B$. | |
| May 10, 2010 at 11:59 | history | answered | Jim Humphreys | CC BY-SA 2.5 |