Timeline for relative rank two group: structure of parabolic subgroup-- high-level Jacobson--Morozov sl_2 triple
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Dec 6, 2019 at 8:34 | comment | added | chluo | Thanks! then let us just consider the p-adic local field case. | |
| Dec 6, 2019 at 7:56 | comment | added | Victor Petrov | No, the relative root system is $A_2$ in this case. | |
| Dec 5, 2019 at 22:32 | comment | added | chluo | Thanks! Corrected. | |
| Dec 5, 2019 at 22:32 | history | edited | chluo | CC BY-SA 4.0 |
added 3 characters in body; edited title
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| Dec 5, 2019 at 21:41 | comment | added | Dima Pasechnik | Jacobson-Morozov? | |
| Dec 5, 2019 at 20:49 | comment | added | chluo | Thanks! the relative root system is of type $A_1\times A_1$? If so, let us first exclude this situation. | |
| Dec 5, 2019 at 20:14 | comment | added | Victor Petrov | If you consider ${\mathbb R}$ as a local field, this is wrong for the Tits index $E_{6,2}^{28}$ (both Levi subgroups are of type $D_5$ then). For finite extensions of p-adic numbers your claim seems to be true by case-by-case considerations (not much possibilities for relative rank $2$ groups). | |
| Dec 5, 2019 at 19:18 | history | asked | chluo | CC BY-SA 4.0 |