Timeline for Local vs global nilpotence class (Lazard correspondence)
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| May 24, 2021 at 6:41 | comment | added | YCor | I assume $p$-Lie algebra means Lie algebra in which the underlying additive group is a $p$-group, for prime $p$. In this case, if $p\neq 3$ and if every 2-generator subalgebra is 2-nilpotent, then it's 2-nilpotent. Indeed, writing $[x,[y,z]]=xyz$, the condition $xxz=0$ for all $x,z$ implies $xyz+yxz=0$ for all $x,y,z$, so $xyz=yzx$, and then by Jacobi, $3xyz=0$, hence $xyz=0$. | |
| May 24, 2021 at 3:09 | history | edited | LSpice | CC BY-SA 4.0 |
k -> $k$
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| May 24, 2021 at 2:00 | answer | added | Alireza Abdollahi | timeline score: 2 | |
| May 18, 2021 at 15:46 | history | asked | Joshua Grochow | CC BY-SA 4.0 |