Timeline for Are there cases in which the Weyl group _does_ act on the flag variety/springer fiber?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 8, 2021 at 15:14 | comment | added | Uri Bader | No, I was referring to the fiber over the identity element. I thought this is what you asked for when you wrote "For concreteness". | |
| Jun 8, 2021 at 9:25 | comment | added | Aaron Wild | Thank you for your answer! But this doesn't really explain what happens in user148212's comment under the question, right? | |
| Jun 6, 2021 at 15:35 | comment | added | Uri Bader | The above is written with complex groups in mind, as considered in the OP. Over other fields, one considers a maximal split torus $T$ and then $W\simeq \text{End}(G/Z(T))$, where $Z(T)$ denotes the centralizers of $T$. For this, note that $T$ and $Z(T)$ have the same normalizer in $G$. | |
| Jun 6, 2021 at 15:29 | history | answered | Uri Bader | CC BY-SA 4.0 |