Timeline for Equivariant Cohomology of flag varieties
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Dec 29, 2015 at 18:43 | comment | added | Allen Knutson | The natural action is of $W$ on the right of $G/T$, not $G/B$, but they're homotopic and so have the same cohomology. If that's what you want, then as a $W$-module it's the regular representation. This is proved in e.g. Humphreys' gray book on Coxeter groups, by a Galois theory argument. | |
| Dec 29, 2015 at 13:40 | comment | added | dhy | What's your action of W on the flag variety? I don't know of any natural ones (because I don't know of any natural embeddings of W into G.) | |
| Dec 29, 2015 at 7:22 | review | First posts | |||
| Dec 29, 2015 at 8:22 | |||||
| Dec 29, 2015 at 7:18 | history | asked | Jack | CC BY-SA 3.0 |