Geodesic
The Representations of Lie Algebras of Prime Characteristic
Glasgow mathematical journal, Tome 2 (1954) no. 1, pp. 1-36

Voir la notice de l'article provenant de la source Cambridge University Press

There are some simple facts which distinguish Lie-algebras over fields of prime characteristic from Lie-algebras over fields of characteristic zero. These are(1) The degrees of the absolutely irreducible representations of a Lie-algebra of prime characteristic are bounded whereas, according to a theorem of H. Weyl, the degrees of the absolutely irreducible representations of a semi-simple Lie-algebra over a field of characteristic zero can be arbitrarily high.(2) For each Lie-algebra of prime characteristic there are indecomposable representations which are not irreducible, whereas every indecomposable representation of a semi-simple Liealgebra over a field of characteristic zero is irreducible (cf. [4]).(3) The quotient ring of the embedding algebra of a Lie-algebra over a field of primecharacteristic is a division algebra of finite dimension over its center, whereas this is not the case for characteristic zero. (cf. [4]).(4) There are faithful fully reducible representations of every Lie-algebra of primecharacteristic, whereas for characteristic zero only ring sums of semi-simple Lie-algebras and abelian Lie-algebras admit faithful fully reducible representations (cf. [6], [2], [4]). 
Zassenhaus, Hans. The Representations of Lie Algebras of Prime Characteristic. Glasgow mathematical journal, Tome 2 (1954) no. 1, pp. 1-36. doi: 10.1017/S2040618500032974
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