Timeline for Decomposition of parabolic subgroup in reductive group
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| May 26, 2019 at 22:31 | comment | added | Mehta | Could you explain how projectivity of $P_2/P_1$ implies that $P_1$ contains $N_2$? | |
| May 24, 2019 at 15:54 | vote | accept | Monty | ||
| Apr 18, 2019 at 16:37 | history | edited | Jim Humphreys | CC BY-SA 4.0 |
Highlighted question
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| Apr 18, 2019 at 1:44 | comment | added | Keerthi Madapusi | By 'standard' here, I'm assuming you mean parabolics that contain the specified minimal parabolic. Not that it really matters. Your question is basically if $P_1\subset P_2$ are parabolic subgroups, then we have the decomposition you wrote down. To see this, just note that both sides are subgroups of $G$. Moreover, the right hand side is contained in $P_1$: This amounts to the fact that $P_1$ contains $N_2$, which is immediate from the projectivity of $P_2/P_1$. The rest is now easy. | |
| Apr 17, 2019 at 21:19 | answer | added | Jim Humphreys | timeline score: 2 | |
| Apr 17, 2019 at 12:48 | history | edited | YCor | CC BY-SA 4.0 |
remove irrelevant tag, improved title
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| Apr 17, 2019 at 9:05 | review | Close votes | |||
| Apr 18, 2019 at 1:40 | |||||
| Apr 17, 2019 at 8:32 | history | asked | Monty | CC BY-SA 4.0 |