Timeline for Conjugates of relative root groups by an element of the Weyl group
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
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| May 2, 2022 at 18:01 | comment | added | Mikhail Borovoi | I think YES, at least when ${\rm char}(k)=0$. Indeed, let $n\in N_G(S)(k)$ be a representative of $w\in{}_k W$. Then ${\rm Ad}(n){\mathfrak g}_\alpha={\mathfrak g}_{w.\alpha}$ and similarly for ${\mathfrak g}_{2\alpha}$ if $2\alpha$ is a root. The desired assertion follows. | |
| S May 1, 2022 at 0:35 | review | First questions | |||
| May 1, 2022 at 1:26 | |||||
| S May 1, 2022 at 0:35 | history | asked | Lisa | CC BY-SA 4.0 |