Timeline for A certain subalgebra of $\mathfrak{e}_8$ over a p-adic field
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Oct 10, 2023 at 0:46 | comment | added | LSpice | Re, ah, yes, sorry, I missed the passage to $\mathrm K$. | |
| Oct 10, 2023 at 0:30 | comment | added | Daniel Sebald | The complexification is $A_1G_2G_2$ (which can be maximal in $E_8$), not $A_1G_2$. | |
| Oct 9, 2023 at 23:16 | comment | added | LSpice | I wish I understood these classifications better, but such a subalgebra would "complexify" (i.e., upon passing to a suitable extension of $\mathrm k$) to $A_1 + G_2$, and Theorem 3.1 of Seitz's "Maximal subgroups of exceptional algebraic groups" seems to suggest that there's no such maximal subgroup. There's a lot that's swept under the rug there (like the difference between maximality over $\mathrm k$ and over an extension), but, if I'm reading correctly, it seems to suggest that the answer is 'no.' | |
| Oct 9, 2023 at 20:52 | history | asked | Daniel Sebald | CC BY-SA 4.0 |