It is well known that the nilradical of a finite-dimensional Lie algebra over a field of characteristic p > 0 need not be characteristic (that is, invariant under all derivations of the algebra), but is there an example of a solvable Lie algebra with non-characteristic nilradical? I've asked this question on Mathoverflow but have had no answer in nearly a month. Any ideas as to how to construct such an example would be welcome.
2026-05-04 14:53:06.1777906386
Solvable Lie algebra with non-characteristic nilradical
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