The Lie structure of enveloping algebras
The authors determine for precisely which Lie algebras \(L\) over fields of characteristic \(p>0\) the restricted universal enveloping algebra \(u(L)\) is Lie solvable (for \(p>2\)), Lie nilpotent, or satisfies the Engel condition. One of the consequences of these results is that Lie solvability is equivalent to Lie nilpotence in graded group rings of odd characteristic.
scientific article; zbMATH DE number 554195