# Questions tagged [modular-lie-algebras]

Lie algebras in positive characteristic (not necessarily restricted Lie algebras)

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### Is there a reasonable way to define “reductive Lie algebra” in prime characteristic?

Among the finite dimensional Lie algebras over a field of characteristic 0, there is a sensible definition of "reductive Lie algebra" going back at least to the 1960 first chapter of N. Bourbaki's ...

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### Solvable Lie algebra whose nilradical is not characteristic

Say that an ideal in a Lie algebra is characteristic if it is invariant under every derivation of the algebra.
It is well known that the nilradical of a finite-dimensional Lie algebra over a field ...

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### Format of grading Witt Lie Algebra

Let $W(n,m)$ be generalized Jacobson-Witt algebra over a field of characteristic $p>3$. According to the grading of $W(n,m)$, we know that it inherits the grading from $A(n,m)$ as follows: $$W(n,m)...