Einige Vereinfachungen in der Theorie der modularen Lie-Algebren (Q801018)

The author suggests that the theory of modular Lie algebras can be simplified by introducing the concept of restrictable Lie algebra. A Lie algebra L over a field of characteristic \(p>0\) is called restrictable if (ad x)\({}^ p\in ad L\) for all \(x\in L\). This has the advantage of not introducing the p-map required by the definition of restricted Lie algebras. He shows that use of ths concept permits especially simple proofs to be given for some known results from representation theory.