Timeline for Does the preimage of the Slodowy slice in $T^*G/P$ have a name?
Current License: CC BY-SA 2.5
4 events
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| Jun 14, 2011 at 22:32 | answer | added | Ben Webster♦ | timeline score: 2 | |
| Jan 10, 2011 at 17:47 | comment | added | Ben Webster♦ | This should all work over any field where $P$ and $e$ are defined, though maybe I'm missing something silly. As for the case of the 0 nilpotent, if you take f to be 0, then everything works, and e=h=f=0 satisfy the Chevalley relations of $\mathfrak{sl}_2$. | |
| Jan 10, 2011 at 14:19 | comment | added | Jim Humphreys |
Does your question make sense with suitable modifications over an algebraically closed field of arbitrary characteristic? Slodowy slices often come up in characteristic $p$ in work by Premet and others. Also, a small nitpick if someone's favorite nilpotent is the zero element; this is the (usually trivial) case where Jacobson-Morosov doesn't apply.
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| Jan 10, 2011 at 2:06 | history | asked | Ben Webster♦ | CC BY-SA 2.5 |