How does one show that Derived Algebra is nilpotent implies the lie algebra is solvable.
My attempt: Let $L$ be such a Lie-algebra then $[L,L]$ is nilpotent so it is solvable. So $[L,L]^{(n)}=0$ for some $n$. What can I do after this?
2026-05-02 17:32:12.1777743132
Derived Algebra is nilpotent implies the lie algebra is solvable
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