Veränderungen über einen Satz von Timmesfeld - I. Quadratic Actions

Adrien Deloro (1)

1 IMJ - Institut de Mathématiques de Jussieu

We classify quadratic SL(2,K)- and sl(2,K)-modules by crude computation, generalizing in the first case a Theorem proved independently by F.-G. Timmesfeld and S. Smith. The paper is the first of a series dealing with linearization results for abstract modules of algebraic groups and associated Lie rings.

Mots clés: Quadratic action; G-module; Lie ring sl(2; K); Lie ring representation

Domaines: Théorie des groupes [math.GR]

Adrien Deloro. Veränderungen über einen Satz von Timmesfeld - I. Quadratic Actions. 2013. ⟨hal-00769458v1⟩