Timeline for Relations between affine Grassmannian and Grassmannian
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Feb 12, 2014 at 6:04 | comment | added | Allen Knutson | If $G=PGL_n$, then $Gr$ has $n$ components, each of which contains a unique minimal $Gr^\lambda$. The minimal $Gr^\lambda$ in the $k$th component of $Gr$ is the ordinary Grassmannian $Gr(k,n)$. | |
| Dec 30, 2013 at 17:53 | comment | added | Peter Crooks | I think the idea is to first realize $Gr_G$ as the affine Grassmannian discussed in Pressley-Segal. (The equivalence of these versions is the subject of mathoverflow.net/questions/150171/…) The Pressley-Segal version of the affine Grassmannian is defined in terms of subspaces of some Hilbert space satisfying some technical analytic conditions. | |
| Dec 30, 2013 at 17:27 | comment | added | Dori Bejleri | How does this relate to the usual Grassmannian? | |
| Dec 30, 2013 at 14:29 | history | edited | Peter Crooks | CC BY-SA 3.0 |
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| Dec 30, 2013 at 14:09 | vote | accept | Jianrong Li | ||
| Dec 30, 2013 at 13:55 | history | answered | Peter Crooks | CC BY-SA 3.0 |